Four times Super World Champ Rob Gronkowski on the show we heard from Lamar We heard from a home succession finale is Sunday It's all happening on our last show of the week from New York City two little up and Adams We have Rob Gronkowski on what do you mean? I'm looking for something. Don't why are you looking at me like I'm crazy Listen, we had another beautiful days day of OTAs. You want to come in here and do some awkward slide This is just by the way. Everyone said don't have Hamilton start the show with you You should start the show and then bring him in but then this happens now I have to get up and I have to turn around and now we got to move this over and do heavy lifting Yeah, Taylor says I look like an 80 year old man when I do this Yeah, she's not wrong and we have to frame up and then we got to make it look like coffee talk Oh, which is the constant shots at your wardrobe. It's a cow. Really? Okay Okay All right, let's do this OTAs. We're here. We're gonna get into that but we got to get into Last night sports business journal awards We were up for a bunch Amy how our badass CEO who's probably done like nine deals already today ran seven miles Like got our kids to school in one piece and is taking over the world She was up for executive of the year with company like Manfred. Okay. It was crazy She is so incredible an entire room of people screaming for her to win She couldn't be there with us last night, but we love you Amy and so congratulations on the nomination so incredible We took home best sports book. That's pretty exciting and a little sick at home I got to hang out with Alyssa from sales Alyssa's Lesnick Our girl Suze who handles so much for us on up in Adams. We're so grateful for her and that is Jesse Smith She works in marketing. I just got to meet her for the first time last night, but it was a great group and We won it was the first time they ever had a best in sports betting But it just shows you how the industry is changing You know SPJ is on top of everything all of the trends where the business is going and it felt so freaking good to get a win Yeah, that's pretty exciting. It's cool. You got to be there announcing a ward. I heard too. So I did for innovation in creative agency, I don't know NHL commish Gary Batman got a lifetime achievement award. That was beautiful John Hamm big St. Louis Blues fan Hugh talky guy gave him his Introductory speech, so it was a beautiful night. Thank you to SPJ for having us We got some up in Adams love in the room, which was really really fun, too So congrats to really fan duel for everyone who works their ass off to make this the best and number one sports book in The country. All right, we also have succession on Sunday. So let's just get to it. I Said it was gonna be Greg. Yeah, okay Because it makes sense because I feel like he's got the mats and thing he'll be the American CEO it'll all make sense, but Womsgams has a case to this don't you think none of the kids are getting yeah Who you who you're in for we'll ask Ron cause think to and tell us who you guys think was gonna walk away with that at the end Yeah, I mean With Tom though, it's kind of you know because he's he's the sitting duck. He's the he's the incumbent at ATN So I feel like they're gonna want to get rid of him, but because he's He has no handle on anything. You know anything about the name Womsgams. No, does it mean anything to you? No, it doesn't okay, so there's this lady on tiktok name name Berry Okay, and she goes through names and what they mean You know everything's you know shib is shaban, but shib is obviously like Right, like it's a great name for her Roman that probably goes from somewhere like Roy She she goes through how Roy actually means King So it all makes sense when you're thinking oh, and then of course There's you know what the writers perspective isn't the creators of the show what they want, but Womsgams She likens to I'm just gonna I'm not gonna play but let me get to it I have to find the player's name. There's a baseball player, right and she goes into like Let's just talk about what the surname Womsgams is it's German It means like pregnant goose or something crazy, right, but I'm not kidding, but listen to this Hold on He is remembered for one thing and that is completing the only Unassisted triple play in world series history He took out three players at once and what is essentially the finale of baseball It's no coincidence that Tom shares a surname with Bill Womsgams So you have to wonder if Tom will be an unassisted triple play That's crazy all three of the Roy siblings to become the leader of Wastar Royco in the succession that That would be wild. Hey name Barry. Thank you. Don't sue us. Can't you sue us? I don't know It might be home that's so that's an amazing theory Greg's much more of a stretch. Yeah, it's true But I mean he was on the paper though with the cross The paper gonna come back doesn't Marsha have two seats on the board Okay, everybody on the board coming back. We'll see what happens, of course on Sunday night for succession I think it's I'm gonna put just I'm gonna stay with Greg. Who you got? um Pick one Okay, I'll go with Tom. Oh, yeah, I like this theory. I like the baseball Connection all right man, Fred. We're with you Another day's of OTA's guys brought us some really beautiful sights. This oh my gosh. This was amazing This isn't this is incredible. I love the slo-mo right at the end to to really get that toe tap It's your boy would be proud. Yeah, little toe drag swag there Jamar Chase Gosh, we also got amazing sound though. We got to hear from a lot of stars around the league as they you know They sort of warm up in front of the mics at OTA as we haven't heard from them in a while We got Rogers on Tuesday and yesterday. We got more quarterbacks. Let's start with Lamar Jackson here after some overreactions to not being at the Ravens camp earlier this Week he was there. He talked about the importance of being there to learn the new offense We heard an exciting Lamar when it came to discussing Todd Monkin's system And he gave us a little insight into what's going to be different this year You know, let's run in and more throne. I say, you know I hear a lot of knows about throwing and stuff like this Yarns to achieve and stuff, but I'm not really worried about yards as much as it's about us just winning So that'd be all the winning category of anything running out going running can only take you so far, you know And I feel like with this new era of Teams and offenses in the league I feel like we need that and Coach Todd Monkin when I'm sitting his offense so far is looking tremendous You know, you can change things when you want to you know, you see the defense is not looking right to you Um, she's some God blicks in you might want to receive her to do something different Coach giving you the free will to do whatever you want to I literally love everything he's saying because it's yeah, I'm you know full of myself and Narcissistic and it's exactly what I said, so he's agreeing with me completely. I have said for years Yeah, yeah, and I have a lot of people want to say I've heard I've worked a lot of people that wanted to say run the ball It's what you do. It's what you do best go and that's okay. It's not okay if you want to win a Super Bowl It's just not Lamar saying less running more throwing more downfield passing more control for Lamar Yeah, that's exactly what I wanted to hear before the OC search even started Yeah, and this even goes back a couple of years because I remember there was the argument of you know running Helped Lamar get the MVP it gets the Ravens to the playoffs, but your argument was always it's not about the playoffs It's about winning Super Bowls But what really jumped out to me there was you mentioned the control and Lamar talked about Having the keys to the offense and being able to make checks at the liner scrimmage And that was something that was really curious to me basically he's saying in Greg Roman system He wasn't allowed to audible and make adjustments at the line, which is kind of crazy for me for a quarterback now going into his fifth year I'm interested to ask Gronk about that and see what he has to say because obviously he was with a quarterback Who was the best at making checks at the line of scrimmage and their whole offense was kind of predicated on that How much of a difference it can make in this Ravens offense giving Lamar that type of freedom and giving him those kinds of weapons Odell's a Bateman Andrews I mean we've been waiting for this version of Lamar to be unleashed for literally five years We also guys heard from from this other one MVP to another Patrick Mahomes yesterday guys there have been rumblings about him getting another Extension or redoing it or whatever that might look like he addressed his approach to those negotiations Very thoughtless. He always does. He's a master at the microphone and here's some of the highlights from that I've always said I worry about legacy and winning rings more than making money at this moment But I'm I know we keep communication. We see what's going on around the league But the same time I'll never do anything that's gonna hurt us from keeping the great players around me So it's kind of teetering around that line You just want to do whatever does not hurt other quarterbacks whenever they get their contracts come up But you want to kind of keep the the bar pushing and so it's not about being the highest paid guy It's not about making a ton of money. I've made enough money where I'll be set for the rest of my life But at the same time you got to find that line where you're making a good amount of money But you're still keeping a lot of great players around you so you can win these Super Bowls and you're able to compete in these games It's so Complicated and it's a polarizing conversation and people, you know, what it's what it's how do you value a few million? It's almost that how do you value a few million when you have 20 and when you don't you know When you have 40 and when you have 60 like what is it's a and and he makes it a bigger deal He's going macro what it means for the landscape of Quarterbacks getting paid and broke off in the league for years to come if he takes a little it's wild And so it sounds a little bit like they're keeping tabs on it Joe Borough getting a contract is gonna have an effect on what Patrick Mahomes's team and his side are gonna talk to the Chiefs about and my goodness This is super interesting and there's kind of three elements to this right I mean first off after this second MVP and this second ring I think we can all agree Patrick Mahomes is the best quarterback in the national football league right now But if you look at the way these contracts are going take a look here He slipped all the way to seventh the seventh highest paid quarterback in the league on a per year basis He took he took a he took a discount if you look at it Not scary at all about two months after he signed it which is great And he'll move tonight by the way when Borough and Herbert sign He'll move to almost out of the top ten as far as quarterback circumstances. It's crazy Yeah, that has to be fixed at some point. He knows that they know what I like that They're talking about it. Yeah, God, please none of that talk about it Yeah, he doesn't need to scrap for every cent. He sort of said that and alluded to that Like he says he's pretty much set for life regardless But you do want to make sure you're getting a fair value for you and whoever's behind you and That's insane. It's supposed to be tough. What do you think? Yeah? No, I think um, you know It's just an interesting position that he's in now because he's kind of saying all the right thing But there's no like easy answer right because no matter what he does You know if he takes the full value the other quarterbacks are happy. Yeah But you know it could hurt his team if he takes less it helps his team But then the other quarterbacks are like dude you hurt my bargaining power now because there's no way I'm gonna get paid More than you so you like put a cap on what we can make so and I know Chris Jones Well, let's talk about these players I know Chris Jones wants to essentially take me through this and like what's going because the whole thing is about How do I become flexible these players exactly and when you look at over the next two years? Basically all their key players other than Travis Kelsey are due for new deals and Chris Jones is the one They really want to get done right now, but he mentions even in that press conference Legerius Snead is a big point emphasis and then you look at 2025 I mean Creed Humphrey and Trey Smith have both been such a crucial part of this team being able to revamp its Offense without Tyree kill that offense line have been so strong and then obviously a bunch of pieces to that defense too So there are a lot of deals are gonna have to work out So, you know if he's able to give the team flexibility with this new contract It's gonna help them stay in contention and if he doesn't That roster is gonna start to erode pretty quickly. I didn't think he'd mentioned the third part of it Which is the how does it affect other quarterbacks down the pipeline like should he care? That's the sort of how much should I look into that? How much of that is even true? Yeah, he takes the team friendly deal So looking into that let's say my home's guys takes an extension for 40 million a year, right? That will mess up the market Yeah, so are the quarterbacks and sort of hurt their ability to negotiate new deals It seems like my home sort of embraced this responsibility and it I mean I know it's like kind of a first-world problem But it's kind of tough to you know have to take your family your team the entire quarterback position into account in this is a Lot and it's the fact that he says it It's a weird thing for him to say if it's not something that's on his mind in his heart Yeah, for sure and yeah as he said the way these teams looking to negotiations they're gonna be like oh my home's only making for you You're not getting paid more than my homes. It does happen Yeah, but okay I have to bring something else up in all this because you've called me a sicko for some of my deep off-season dives But there was some real serious sicko stuff going on this Kansas City press conference from both the media and my homes The first question the first one when he gets up to the podium was about playing yeah, and even sicker listen his answer Since he's been in the building He's been a true pro and he's he's came in you can see the talent You see why he was a believe top-10 draft picker a first-round draft pick and the arm strength everything like that And he was just backing up a tom so I'm asking him for any advice he can give me because if you're learning from that guy You're learning from the right guy, so there's another good quarterback good guy that can be in that quarterback room I mean Patrick you're coming off of a second MVP a second Super Bowl ring And you're spending your off-season and trying to pry Tom Brady's secret sauce out of my guy Blaine gathering So type of deranged behavior I can really get behind and all seriousness get it really does give you an insight into the Mentality and the work ethic that's made my home success right he would do that exactly Brady would do that I can you I'm sure he would and we can ask Ronk about it. I mean, I don't know why Patrick Mahomes doesn't just join the fan dual family Like we'd like and then you could just phone Rob gronkowski and say tell me everything that Tom Brady ever did and said and you know We could just be a year streamlined and having to bother Blaine Gabbard about it. I'm just saying that's a great point When I think of Blaine Gabbard, I think of obviously Miss you would ask the why why the shorts come to my mind Oh, the short shorts he likes to show off the legs Training camp Jim shorts. Yeah. Yep. What that's just that's what's in my mind What's in Gronk's mind?  We heard from Patrick Mahomes Aaron Rogers got hurt being like a mule. Okay. All right cast on from Beauty and the Beast is on next It's the only player ever on my show that gets a music video and his mom also gets a music video He's a four-time Super Bowl champion the greatest and to ever walked this land our fan dual family member Rob Gronkowski You just get a workout in buddy Yeah, I just got a workout in I'm here in Tampa Bay Actually, I'm at a new facility called Suka and it's a Buddha term Suka's a Buddha term for the pursuit of happiness through the mind and body So it's a great place to work out and I actually just finished a workout with Blaine Gabbard And while I was listening in the green room to your show about a couple of days ago You were talking all this garbage about Blaine and how we can't throw the ball how his hips are tight all this crazy stuff Good thing. I don't walk over there and tell him he'll have a have a bone to pick with UK All I said Rob is that when I think of his name I think of the short shorts he wears when he trains because those are unbelievable Yes, actually he did have a shirt tucked in today and he did have short shorts It's half of his quad was showing so you are 100% correct and it's a great look We're Blaine. He's a great looking guy with the hair that slits back all the way and let me tell you he has a rocket For an arm. He has a cannon. He can whip that football like no other Hold on Hamilton. What do you want to say?  They were at Mizzou. I went to Mizzou My producer went to Mizzou and he said he broke a couple of his fingers throwing in those balls of practice He's in Kansas City. Is he excited to be there? Yes, he's excited to be there. He told me that I wondered how he was here at the workout I'm like it's Thursday. Don't you got some OTAs? But coach Andy Reed let him off for the day because it's Memorial Day weekend coming up So they have an extra long weekend, which is pretty cool for coach Andy Reed to do That's why they're winning right there because he's giving his players off in the off season when necessary I like coach Andy Reed I don't know that Bill Belichick needed to catch a stray like that on a Memorial Day weekend Thursday But okay, listen OTAs when I say the word OTAs, where does your head go? What's the memory that it takes you to? OTAs, I remember though. Okay. The first memory was OTAs when I was a rookie. I mean you're nervous You kind of have a little anxiety to make sure you do everything right And then throughout your career as it builds up you kind of start looking at OTAs like do I really got to be there? You know, I know I know the playbook like I can be working out somewhere and enjoying my time on the beach But uh, OTAs depending in your situation if you're a young buck or if you're experienced Veteran it all depends on where you're at in the totem pole Uh, it's how you view the OTAs then so as a rookie, I think all rookie should be there Especially if you're under three years All players under three years need to be at every OTA need to be in the playbook making sure you know the game of football You know, like it's your back of your hand.  So you show up there and there Unless if you really want to be there, you know, that then it's fine But uh as as me I like I'd like to be in there once in a while You know having the chemistry and then making sure I'm there for the mandatory OTAs mandatory mini camp, but I think it's great for all the young bucks. No doubt about that It sounds like you have to do what's right for you After you're a rookie and figure it out and like who even knows when you're considered a veteran so you have to Do what's right for you your body your regimen because you've got all this not drama, but like Staphon digs say kwan barkley justin jefferson These are stars and they're missing from the OTAs and everyone wants to talk about what that means Or is staphon digs disgruntled or whatever that is But there must be a point that you know is a player. I'm good. I can skip this. I'm responsible enough to take care of it Yeah, so players like that totally are responsible enough to be able to skip OTAs No doubt about it as long as they're at home or wherever they are Uh and getting their work in which they are That's why they're veterans and that's why they're at top of their game because they are getting their work in No matter what even if they're not at the facility and also here's another question that goes into play too Is if you have a family I mean you have kids you have a wife and you're a veteran you're six years in a league You're you're a star player as well. You don't need to be at the OTAs You're going to be in that city or wherever you're playing For the six months straight So this is time that you can spend with your family You can spend the time with your kids right now instead of being at OTA practice as long as you are getting that work in It's totally acceptable and I believe that sometimes the media looks too far into it when a when a player misses OTAs because hey if they're getting the work in it doesn't matter They could be with their family and join their time as long as they show up when it's time for training camp and show out How would bill feel about this answer Uh, I don't know. I mean it would feel great, you know, I think it's a Very responsible answer. I think you should bring me on the coaching staff and I could be Full program for OTAs, but uh, but like I said You're about a year four and under you got to be at OTAs though.  Did you see this? Wait strapped to his leg thing. Did you see this? No, I didn't see this. Uh, I heard he got like a little injury or something. I'm not really 100% sure what happened I'm not even sure what the injury was but if okay, you can put me up to date with it. That would be great So he's at OTA's voluntarily because obviously he wants to build chemistry with his team He's a new quarterback new team. They're young. He wants to gel with them, which I respect a lot It's a something that he'd never done in 18 years 19 years in green bay It was some sort of drill where he was running with the weight attached and strapped to his leg He had a bit of a limp so they made him stop and he was you know Just had a bit of a calf thing nothing big. He says it's fine But uh, I just want to know your thought your thoughts on this him doing a workout that he's ever That he never did in his career and I'd love to know the strangest workout routine you've ever done I mean Okay, uh going back to the OTA's here's another situation as well. And roger is an MVP Of one of the greatest quarterbacks of all time But he just got to a new team if he was with the green bay packers I understand if he's not at the all of the OTA's but in this situation Here's another situation we're talking about I believe it's great for him to be at every single OTA to build that chemistry because he's a new player on a new team So that's huge for him to be at all the OTA's. That's a good sign You want him there? You want him to build the chemistry especially as a quarterback and then second of all he's probably doing it You know to fit in build up the chemistry to show that he's putting the work in With his teammates and something he's not used to but I feel like you know You just put me up to date with with what happened, you know pulling a sled with weight on it. I believe Just within 10 seconds of in-state that he kind of faked the injury.  I'm good. I'm fine Oh my god, you're right He showed one like I can do it the one and then the second one He was like oh my calf. Let me just throw the football I mean you're completely right and I love that.  You're having fun But you know you're working out you're staying in the game here and you do all of your amazing work You're gearing up for fox the NFL approved a new rule regarding kickoffs You can now signal a fair catch anywhere inside their own 25-yard line and the ball be placed at the 25-yard line and you read had this to say yesterday gronk My my thing is where does it stop right? So you start taking pieces and You know We'll see how this goes, but you don't want to take too many pieces away Be playing fly football What do you think? Uh, I agree with coach Andy Reid. I think it's getting a little bit ridiculous on that rule change because I Because there's already that rule if it goes in the end zone You can just take the knee in the end zone then it gets placed on the 25-yard line But you got to be able to play football at some point I mean, that's why you have the kickoff you might as well Just take the kickoff totally out of the game then and just have the other team just start in their own 25-yard line but uh That's that's that's pretty ridiculous. I mean that's going a little bit too far You know into it because there's already so many touch backs.  So 75 of the time it's starting on the 25 already, but Uh, I wish you got you got to play the football you got to play kickoffs. It's just been part of history in the game Might as well be playing flag football says Andy Reid it We might be it sounds like we're seeing the end of the kickoff return Now give me a gronk rule an nfl rule a new rule or something that you'd like to see implemented in the nfl All right, here we go. Actually tom brady brought this up plenty of times. It's to protect the receivers It's to protect the tight ends because a lot of guys out there. He offers alignment defense alignment quarterbacks They're all protected from their knees down You can't blindside anyone when they're unprotected When they when they're self When they're defenseless a defenseless receiver is the only person that's not protected From the knees down liming our Running backs our quarterbacks our defense All those players are protected in that situation But a defenseless receiver when looking at the corner to make the catch Limebacker or or a cornerback or safety can still take out your knees even when you're not looking So that's a defenseless receiver So therefore that needs to be implemented as a new rule change So where you cannot take out a defenseless receiver's knees From their knee down. Yes, you can hit them from here From the quad to the shoulders But if they're not looking And they're still getting drilled from their knee down That's very dangerous for the game. You see a lot of people Chris Godwin blew out his knee A couple years ago versus saints. I blew out my knee eight years ago Against the browns from it You see a lot of these defensive receivers blow out their knees because of that rule because they're not looking and they get Absolutely demolish from the knee down. Yes, if they're looking at the player after they make a catch and make a step or two Yes, you can hit them below their knee But not when they're not looking not when they're defenseless That rule should change to where you cannot take them out from under from from their knees I mean gronk it happened to you all of the time Everyone went for your knees. Nobody wanted to tackle you high ever And I just got to ask you it's like a personal thing now like would would you have played longer? Do you think you your career? I mean you had a beautiful career. We know all of that Do you think that your career would have been extended had that been a rule? Uh possibly I mean Uh, I mean I did take a lot of shots like it's it is very dangerous You still see this game because there's so many differences receivers out there when you know every single game that's played But uh, I wouldn't say it would have extended my career I would have said it just would have taken an injury or two off of my injury list off of my rap sheet You know, but uh, I don't think it would have extended my career I'm still not not I'm not quite convinced your career is over to be honest. So there's that okay Gronk, we know you're out of work out. We want to get you out of here. We appreciate your time. Of course Let's play a little game.  Let's start with this the Packers. Here's some news Green Bay was awarded the 2025 nfl draft It'll be there a lot of hoopla. It's getting mixed reviews right now. Do you like green bay as a location for the nfl draft? You know, I saw in kansas city this year and that was a success I like how they're expanding it to the uh, you know all over the place. So yes, I think it's a great idea I think it's going to be a success for sure Love it taylor swift. She was just at dilett stadium for three nights. She's killing it I don't know if you've seen the concert. She's got a song coming out with ice spice tonight She's everywhere mac jones attended a taylor swift concert at dilett. What do you make of his outfit the whole vibe all of it? I think he needs to put a little weight on I mean, he's looking a little skinny right now He's got to put about five ten pounds back on so then he can lift, you know, run the ball a little bit Knock out some linebackers while he's running to get a first down, you know so But other than that, I think the outfits a plus, you know, he's looking great with his girlfriend And uh going to the taylor's concert at dilett. You can't you can't beat that combo What's the best concert you saw at dilett? I would say uh jay-z and but the onset Yeah, that's pretty good.  I was 260 so I made up Thank you I thought okay yankees fans listen everyone's I'm I lived in new york 12 years yankee fans are so tough Look at how scared they are of a squirrel during this game. This is insane. What do you make of this? They're terrified Yeah, I would be terrified too last night.  I mean it was scary. It was a pretty big spider and I literally every single bit of my hair was sticking up trying to get the thing out of the house It was one of the scariest moments of my life last night and after I ended up I did end up killing the spider and then I put all of its remaining emotion actually I like that so I could be you know, let's breathe out there to this next life But uh, I was scared so I would probably be just scared initially by the squirrel But then I big eyes just squirrel I feel like squirrel wasn't julien julien edelman have like a squirrel thing attached to him Yes, julien edelman's nickname is the squirrel and uh, he always ends up finding the nut because that's julien edelman Yes, that's true. I forgot about that. Okay.  It's not I need to you to tell me what's going on with lebron Because him the lakers are done for this season more people are talking about brawn being done forever though than the actual nba finals Does he pass the retired guy test? Is he giving you that kind of energy? No, no, I don't think so. I think it's just kind of a rumor going on right now Or he started the rumor whatever happened why why the rumor started, but I think he's gonna play Until he can at least get one year with his son. I think that would be extremely legendary That would be magnificent if he does that it'd be the first time we ever seen anything like that and it would be mind-blowing I would love to see that but the way that he's playing he's at such a high level He's in such great shape. He takes care of his body so well Obviously because he wouldn't be doing what he's doing at the age of 38 But I think he's gonna go until he plays one year with his son So I think the retirement rumors right now are just false. I mean he's too healthy He's too much in shape and he's too much of a beast. He's not right now All right, he's not retiring now you and your girlfriend Camille We're watching the Westminster dog show I believe with your dog Ralphie who we have yet to really get to know an interview But you call you said you were rooting for Winston the Frenchie And that that's the dog that won the whole thing So you are calling your shot on these things and they're right. So that that must have been amazing Yes, it wasn't I just love Frenchies. I love all Frenchies. I love all dogs actually but especially Frenchies I just think their personalities are just so great. So when I saw Winston in there, I was just cheering for him man He's a champion.  I don't know how you did it So I'm going to ask you before you go a couple of quick predictions We are on we are on a win streak here with you Camille Winston heat Celtics tonight Do the Celtics get to win the next in the series? Oh, I think uh Where is it is in in Miami or in Boston right now? I don't even know Boston, I think I think it's in Boston. Yes, because the last game uh I think the Celtics are going to win one more game and then the heat are going to win The next game at home Do you watch succession rob? No, I never have Okay, let's see the poster pick out pick one person on this poster and that'll be your choice for who wins Succession because there was one episode left. Who do you like? I like the guy in the front. He looks like a boss and he looks like he Ravi died Who is it? What's his name? I said his name is Logan Roy, but he died pick somebody else or maybe he could come back I guess sure That's ridiculous. All right the guy to the right of him if I'm if you're looking at him to the right, okay Kendall Roy. Yes his second to oldest son. He will be doing it. All right DK Metcalf challenged Tyreek Hill to a race Again, they do this all the time. Who would win predict between DK and Tyreek? I think Tyreek Hill will win. I mean I saw him race those track guys this year And I don't even think those track guys should have qualified because Tyreek Hill absolutely blew him out of the water But uh, I think Tyreek Hill will win by like an inch He's just a little bit smaller and those small guys are always just the quickest And fastest I love it. Tyreek get someone let us know on twitter and last one for you your former teammate Devin McCordy also has a million super bowls He's your boy and we just got the news that he'll be joining NBC's football night in america beginning this season We love him we congratulate him. What's your prediction on what a kind of a breakout star he'll be on the national stage on tv Yeah, Devin will bring a lot of insight to the to the football world. There's no doubt about that He's got a lot of knowledge He did whatever had an unbelievable career 13 years and he played two positions as well He played defensive back and he played safety and also he was the captain of the defense So he had to make sure uh, where all the defense alignment were where all the linebackers were He had to know the whole defense inside and out. So he's gonna bring so much knowledge to the table He's it's gonna be great for football that he's joining But the only problem is is that he's not joining the fox crew because the fox crew is the best crew k That's what Hey your boy your boy shanks last night won executive of the year Yeah, because he is executive of the year. He brought me in the fox though. He deserves that award every year He did you want to get an amazing speech. So that's incredible. Yeah, we cannot wait for the season to get here It's ota's you're getting your work and go hang out with playing gabbard We appreciate you Gronk and sorry for asking you an impossible succession question with the guy I knew he was gonna pig being dead just the dumb move by us all around. We'll be back right after this Okay, if you want to get smarter it's up and hammer time Let's do it. I will not dance to this You're on strike Until emcee hammer allows us to use He did tweet at me once we can ask him emcee hammer You asked I don't know who asked maybe eric producer eric asked Henry Winkler to record us a little something because Henry Winkler was in an emcee hammer video, right? Yeah, so we said, hey, maybe could you we need somebody to make us a song for hammer time basically, right? I guess yeah, and he said no the nicest man in the world was like no That says a lot about me says a lot about us. All right time for hammer time hammer Oh my gosh, let's talk a little football here.  I know well discovered this week As you were breaking down the frame by frames of trey lances elbow height You had you had a protractor out on the screen watching tape. It's disgusting. I want you to know that elbow height What did you hold on twitter? What did you say I was doing? Oh, yeah. No, I said a bad thing I don't know. I've really let it go lately. Yeah, listen trevor lorence. Your mom's watching. Why do you draw don't draw her to my twitter? um trevor lorence let's start this again Hamilton trevor lorence had a breakout season in 2022 He takes the jags to the playoffs waffle house blah blah blah earned a trip to the pro bowl But there's a reason to think he's just getting started right like how good could he be? I think He could take things to another level this year and possibly get into the mvp's conversation because of this guy this guy All right I really do think when you look go back and look at some of the tape from last year They have some good receivers not to disparage a christian kerr or zay jones They had very good years But they don't really have that number one guy who commands attention from this is the number one guy That's gonna command attention for the defense and let me show you let's go back to last year and i'll show you some examples of just How things stalled sometimes with this offense here against the jets they're in the red zone It's third and three the jets are playing man coverage across the board And you're gonna see here nobody's really able to create separation watch trevor's at the top of his drop Nobody's open here and this is especially where it showed up down in the red zone trevor's gonna have to throw this on take a shot it ends up falling in complete He was the 29th rated quarterback out of the 31 qualifiers in the red zone feel bad feel bad for him But that was a bad situation Yeah, exactly and it's not his fault that he used the 29th out of 31 rated uh qualifying quarterbacks in the red zone but it's it's it's it was symptomatic of The lack of that number one guy Yeah, I have a number one to hear it. Yes, okay They did uh, they had a top 10 passing game. So everyone's gonna look at those numbers and say like at whole Yeah, the but to your point they only had 205 yards through the air against kansas city And that man coverage in the divisional round loss. Yeah, and kasey pressed up a lot They brought a lot of pressure spags was aggressive with them And that's what you can do when you don't have that guy to fear and ridley He is that guy.  He's in the slot They're gonna run a little double post concept here First pay attention to the route running watch how he's able to snap this off and create separation Right there. Look at that He's on one hash the db is on the other hash From that break It's it's beautiful. We'll see it again. We'll wind it back just so you can see it one more time Just the way he's able to snap this off and then he flattens it out He's the awareness to know that safety is over the top. So he flattens out the route makes it easy for matt rine And he gets busy after the catch He's just so complete so all rounded and Brings every element to this offense that they were kind of lacking last year and here he is again in motion He wants to run this route to the corner of the end zone But he knows he knows he has to widen that defender first So watch the stem off the line of scrimmage how he's able to widen out that defender Get jordan louis to open up move towards the sideline so that he can get a path to the middle of field And then break to the corner of the end zone and look louis has to hook him here. You see a db in that position. He's dead and Look at that separation. There's no one near him as he catches that ball in the corner of the end zone Check it out one more time. I mean he's all by himself That's the type of stuff that he can do that's a rare town and again It's not to despair to anybody the jacks have a really good well-rounded group of receivers Which should only help them Yes, but that type of stuff is special and they're only you know They're only a few guys in this league those true number ones that can create separation like that and you saw it in the red Zone he's going to help so much down there I know we don't think about him really as a red zone target because he's not the biggest guy But it's that ability to create separation in tight spaces that's really going to help elevate this offense Tell me about his numbers though because I feel like the last time I saw him He was good, but I but I'm seeing the numbers right here and they're really good and it's not what I remember of him for some reason Maybe just because it's an offense We didn't talk about that much or it's been too long since I've seen him and then there's marred with other stuff That's going on. Yeah, like his number is last time or what? Yeah, he had 1400 yards and nine touchdowns in 15 games As i'm saying the nine touchdowns you don't think of him as that red zone guy But he gets open so quickly That it's going to help trevor lorence so much at where they had so many drives stall last year in a fantasy draft And you know he's already going to go over the radar because you haven't seen him in a lot a lot and also because like whatever And there's also the trevor lorence and there's also the fact that he's on the jack So it's like an unstill still perceived as an unsexy team when it comes to other superstar wide receivers Like this is the the value. This is like superstar trajectory kind of guy Oh, definitely and again, especially pairing him with a trevor lorence and the talent that trevor has It's going to be fun to watch this year. How good is trevor going to be now? I'm telling you. I think he could we could see him sneak into that mvp conversation What are you about to call your shot on trevor's the mvp? We'll say we got a lot of all season left man. I love the jacks. I don't know if I could see that happen We'll say what would it even take for that to happen?  They play the bills He's going to get his prime time game play the bengals He's going to have his shot to take down all those guys if he can do that How could you not put him in that bengals sunday night game monday night game? I think bangles are sunday night, right? Yeah. Oh the bill borough is going to take care of business there, but that's okay That's okay. That'll be that'll be a good you versus me game.  Huh, we're talking about karson once ever this, huh? We'll be back after this. Thanks gawk. We're coming on the show succession When nva playoff games tip off there's no better place to bet than Fanduel america's number one sportsbook because now you can build the same game parlay after the game is already started Live sgp's are just one of the new features added for the playoff. So go check it all out right now on the fanduel sportsbook app The draft Is over. We'll be back the play. OTA's are in full swing. We heard from the homes and lamar And we'll hear from karson wenz's matchmaking We're gonna do what we do best And it's not procrastinate and What's your what's your flaw You can't think of one. It's that it's that hard knife I don't know Oh, which is it tries too hard. All right. We didn't ask the peanut gallon here Okay That's one of the things that you say in an interviewer like I just care so much about my job That it's just like too much going on. Okay, we're gonna do what we really do best And it's not I like when nobody argued procrastination for me That's fun. That's a lot of my calling card.  We got her Fanduel baby. What's going on marissa? Hi? How are you? Miss you guys good to see you. What's going on? We're gonna do some matchmaking just like you said There's a lot of uh notable free agents still out there just floating in the ether I wanted to do my part and make an app and try to help these guys out. I'm calling it yearning for earnings Let's take a look at the app earnings And let's go to our first profile. We got karson wence. He's 30 years old 65 He's from rolly went to ndsu not a bad profile. I would click on this if I were You know a team or somebody floating out there. Uh, let's get to the prompts. Let's see. Let's see what he answered All right, the most spontaneous thing he's ever done. I dated my ex's neighbor for a year some nfc east drama Come on karson. Don't be messy. Don't be messy. All right, let's go to the next one Debate me on I can stay healthy for an entire season. I'm not one for living in the past But in 2021 with the cults I played in 17 games I got 3563 yards 27 touchdowns and seven interceptions That's not bad. But that was a couple years ago And one thing he'll never do again this. Let's take a look. Let's click on the video Uh-oh. Oh, no, not this play. Oh, no Not this play. I karumba karson No, my lord My lord Oh man Okay, so let's let's drop into his potential dms. Let's it looks like mr. Wence is probably going to be a popular man We got the packers. We got the rams the chiefs the lions Lonely in Englewood says rams packers. I don't want to be cheesy, but Packers you need a better line than that. Come on But there's some interesting choices. Let's look at what the packers have to say. Let's click on that one Okay, the packers say I already have some love in my life But i'm looking for someone with a little more experience The winters get a little cold in green bay and we need a man that can keep our cubie room warm and safe There's enough love to go around. Are you down to swing for the fences as our backup quarterback? Oh my god, the packers are coming in hot. Okay, would you respond to this dm if you were karson Marissa that was those were the steamy dm from green bay. My gosh. I can't believe I read that Calm down there. Appleton, Wisconsin. I would say this i'm gonna say no because With erin rogers out the door You want to just focus on jordan love and there is a question though with jordan love can jordan love stay on the field To bait me on that. We don't know what that looks like. We know what he's looked like in small pieces Can't he survive a full season? So He he's just not the one he's not the one if I want things to be a little cleaner I want the media to be a little less on my back and to give him a little bit more Love for himself in the locker. Yeah, it could get a little messy bringing a guy like him You want a veteran who's like in the background not bringing you so much attention in which karson ones would I do like messiness, but I mean they're asking if he wants to swing comma for the fence Marissa, what else we got? I can't believe I said that uh, we got one more from from the ramps We've gone from the highest of highs to the lowest of lows How about rebuild each other as long as this relationship can stay healthy? That is our kink right now Fully functioning elbows call me a hopeless romantic Hey, I will say what do you think? These are great I like the fit with the rams. I think putting him behind stafford He's a guy that can come in and do some of the same type of things that matthew stafford can do Again, you mentioned that elbow. It's a concern. I'm also there've been rumblings over the past couple days about the cowboys Also entering the chat Interesting The drama get out marissa that was amazing. Let's do more of those who's talking about karson ones right now In their national shows nobody really baby. We'll see you next week


on an intro. Welcome to the video. I'm Salah Mike. This is a training vlog. You wanna do a YouTube intro for a video? What's up, YouTube? Salah Mike, I'm gonna crush weights today. PRs are gonna rain. I hit a squat PR 170 front squat last week and I also hit a clean PR of 140 kilos. So I'm gonna beat both of those today. That's me being Nostradamus and telling the future. Connor's going to Tarantino this to show you what actually happens in about half an hour but only hint at it so you can watch the rest of the video. But there's a new thing on YouTube.  Quack! Is that YouTube enough for ya? Yeah. You guys like that? You guys like YouTube? You like what I've become? Now what do we do? I miss both PRs. Here's when you drop the excuses. You ready? Yep. So with the weightlifting programming, Ben's been handling me and everything's been going really, really well. But now we're handling loads that are fairly heavy in terms of like 130, 140 kilos on a clean which is 280 to 300 and whatever, eight pounds. So it's not like it's no stimulus. We're in the beginning. I was handling like 100 kilos, it was like 200 pounds. It's like no stimulus. It wouldn't fatigue me the same on my low back and my legs because relative to my general conditioning for squats and how strong endurance my legs are, it just wasn't affecting me. But now it's having it starting to affect me. So I've been programming and following my own squat protocols which is basically based on the Kaisen squat programs that we just dropped, except I switched some things around because I wanted to get better at front squats but otherwise very similar. Couple of beltless days, couple of heavy days, light, medium, heavy. And yesterday I was just feeling kind of good on a beltless day and so I went for a beltless PR. Yesterday is a light day for the weightlifting and today's supposed to be the heavy clean day and it was, I still cleaned like 130 pounds or 130 kilos, which isn't bad for me. That's still like 90%. So if you get in that range on a heavy day still fine but I did 210 kilo back squat beltless for three which I think is an all time PR regardless of body weight and I'm pretty small right now. I'm probably like 200 pounds and when I was smashing bigger weights in powerlifting I was probably 210 to 220. So that obviously fatigued me because then I missed that front squat which is 175 kilos. I squatted 170 front squat last week. I'm gonna try to give Conor the tech of the cell phone footage so you guys could just see it because I absolutely crush it. And then I saved because I wanted to do 175 this week but I missed program myself 100% to blame. Into my ego squatting too heavy too often but it's still fine. So cleans actually felt really good. My rhythm on everything up to about 130 felt really, really good. And then I think we jumped from 130 to 136 which is literally no jump for me. It should have been fine. And my upper back and my legs are just fatigued. Upper back is getting really, really tired now that I'm actually snatching something and I'm really getting the front rack position. My traps are just constantly sore, which is all good. I gotta build all that up to be able to handle these positions but it's just not there today and that's how it goes. So tomorrow we're back to the draw board. Got a belted back squat day. I'm gonna try to stay a little bit lighter maybe around 200 kilos for some triples. And then we'll do some technique work on the snatch and the cleaning jerk. Probably Friday off. And then right back into the mix of things typically Friday or Saturday is when you max out from the ground just kind of feel where you are. When I max out, you max out for that day. So you just kind of see how you're feeling and how things are progressing handling some heavier loads somewhere around 90% unless things are really clicking when you go for a PR. So overall satisfied. Obviously it's not fun to not hit a PR when I was feeling good and I kind of planned to hit one but tomorrow's another training day. Y'all do like 175 today and then like 165 for three next week and then maybe do 180 or something. It's a big 100 degrees here. You know what I'm talking about? Relax. Roll the bike here. Feeling warm. That feels good. I had my secret, top secret pre workout. She's actually kind of gross. It's just because I'm dieting. Non-fat, non-sugar, Greek yogurt. It's basically protein pudding. And riddle me this in the comments. Boys, you could riddle me this as well. Reese's Puffs was arguably my favorite cereal. Why does Captain Crunch Peanut Butter make a better Reese's Puffs than Reese's Puffs does? Captain Crunch Peanut Butter is literally just a better Reese's Puffs. It's better though. I need Butterfinger to throw their hat in the cereal ring and then we'll have a, or Jiffy? A Jiffy cereal? I think that makes it. Kick hats not peanut butter kid. Hope you guys like this training vlog. Be sure to subscribe. We drop new videos Monday, Wednesday and Saturdays. Some instructional, some weightlifting, some powerlifting, all that good stuff. I appreciate you guys. I'll catch you in the next one.


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So the next sense that we are going to talk about is hyperbola Okay Again, we'll restrict our self only to your school and slightly more than the school Okay, so first of all, what is the locus definition very similar to what we had for an ellipse So hyperbola is basically nothing but it's a locus of a point or a path traced by a point Traced by a point moving in a plane moving in a plane in such a way In such a way that The ratio of its distance From a fixed point to that form of fixed line To that form a fixed line is a constant Where this constant value is more than one Okay, so just like what we had in ellipse It's a ratio again of what distance from a fixed point which we know is the focus To that form of fixed line, which we know is the direct mix Okay, and this ratio is what we call as This constant is what we call as the eccentricity and in this case your eccentricity is more than one In this case your eccentricity is more than one Okay So let me draw a quick Representation of the locus over here. So let's say this is your fixed point s and this is your fixed line Let's call it as D equal to zero on this point P is moving in such a way that This distance divided by this distance, so that's if this is M So SP by PM is a value which is more than one which is more than one Okay, so the path traced by this point P will be that of a structure like this Okay, which will be called as a One of the arms of the hyperbola Okay, remember Maintaining the same ratio there could be one more set of point and a line Such that the same ratio E which is more than one Right, but it could be any number more than one. Okay is maintained That means in case of a hyperbola In case of a hyperbola just like we had it in the case of an ellipse There could be two pairs Sorry, they could be one pair or they could be two sets, right word to use is two sets So let's say s1 and D1 equal to zero and s2 and D2 equal to zero Okay, so if I take a point over here Then this distance s1 P Divided by this distance that is PM1 will be the same as s2 P divided by PM2 divided by PM2 So s1 P by PM1 would be same as s2 P by PM2 and this ratio will be E only The same E that you have chosen for that particular hyperbola There's a lot of difference. I mean structural wise it may look to be the same in a hyperbola that ratio is equal Okay, so in sorry in a parabola this ratio Prakul this distance, let's say I call this point P This distance is equal to this distance Okay, so this point P is moving in such a way that it is always maintaining the same distance Okay, and in no case it can go beyond the Line right as I told you this thing come on this side Right because if it comes the distance from the line will be shorter as compared to distance from the point Okay, so there's a lot of difference and I think I should actually plot it for you to realize that difference I'll just show you How different they look so let me just take a case Let's say we have y square is equal to let's say Four times X minus two Okay, and now I will take a hyperbola x square by by four minus y square y square by My square by one equal to one Okay I purposely chosen it in such a way that you can actually realize the difference of the two arms Okay, your hyperbola is more sharper in a feature Okay, it is basically they are the cases where if you extend the eccentricity to a higher value They will start coming closer and closer till they become a pair of straight lines Whereas in the parabola the nature is quite different Okay, the nature is quite different. So if you see this is actually showing you how the arms can look different But again, it depends upon your A and B value chosen also Okay, so they may look very similar, but they're actually not There's a quite of a difference between a parabola structure and one of the arms of a hyperbola fine, so your hyperbola Can have two arms one looking like this and other is looking like this They both extend indefinitely right, so the purpose of referring To it. I will just make a diagram and keep it. By the way, the terms that we are going to use is exactly the same as what we use for the case of ellipse These are called okay, let me take it in the next slide terminology used for a hyperbola So what I'm going to do I'm just going to borrow the figure from this because I've already drawn it here Let me just shorten it up Let me use this Okay Now as you all know that Let's say this will be the focus and just assuming a certain point to be focused by the way I could have also drawn the focus here just a second focus for the second conic EQ 2 Let's take this as a So these two are the focus or to foresight Okay, so these are called the foresight s1 s2. Let's call it Okay, the directories will be somewhere. I don't know. I should have drawn the directories also Let's check directories of equation This could have been a better figure All right, so these are the two foresight As you can see a and b. These are the two foresight s1 s2 These are your two directories d1 equal to 0 d2 equal to 0 Okay, please note that The midpoint of the two foresight is called the center of the hyperbola. So this will be the center of the hyperbola The line which is connecting the two foresight and also passing through the center of the hyperbola that line is basically called as the That line is basically called as the transverse axis transverse axis Okay, there is no major minor in case of a Hyperbola. Okay, please do not use the terms major and minor for a hyperbola Major minor is used in case of an ellipse not for hyperbola. Okay The line which is perpendicular to the transverse axis and passing through the center That line is called as the conjugate axis Why does called conjugate axis will learn in some time? Okay And other things will definitely remain the same for example if I connect any any two points Okay, this will be called as a chord Remember your chord can also be formed when you connect a point from one branch to other branch. This will also be a chord Okay, so both are chords only So this is a chord. This is a chord chord need not be Connecting two points on the same branch. Okay, so it could connect like this also Let me tell you these are not two hyperbola These are only one hyperbola two branches of the hyperbola. Fine. Do not get confused If a chord is passing through the focus Okay, that will be called as a focal chord. So there'll be two focal chord Sorry, they will be multiple focal chords, but you can draw the focal chord here also Okay, so focal Okay, other things like Double ordinate so any line which is perpendicular to the transverse axis and perpendicular will be called as a double ordinate double ordinate If a double ordinate happens to pass through the focus, I'll just draw a small one over here So Yeah, so these are called your lateral recta. These are called your Lateral recta, is it fine now few things that you will know notice here as Different from ellipse is in the case of in the case of ellipse your vertices where farther away From the foreside that is for say was closer to the center as compared to the vertex You know vertex is closer to the center as compared to the foreside Okay, second thing is again your directories were away from the center as compared to the foreside Here directories will be closer to the center as compared to the foreside All these subtle changes happen because your E is more than one. We'll see how it happens We'll try to analyze it through our coordinate geometry fundamentals So please note down these are the terms that we normally use Nothing much of a change here other than the fact that you call the axis connecting the foreside as transverse axis and The axis perpendicular to the transverse axis and passing through the center as the conjugate axis There is no other change other than use of this two particular Name of the axis. Okay Now let's try to talk about the coordinate geometry fundamentals So we are trying to find out the equation of the standard form of a hyperbola So let me just draw a quick diagram so that I can use it now This is your transverse axis and this is your conjugate axis in order to Basically find out the equation of a standard form We will assume that our x-axis is oriented along the transverse axis and our y-axis is oriented along the conjugate axis Okay, so as a result what happens the center becomes the origin Okay So just like we did it for the case of an ellipse will assume that the vertices are at a comma zero and minus a comma zero Okay Focus for the time being we'll take it as c comma zero and minus c comma zero Okay, and these points I will take it as minus d comma zero and d comma zero sorry other way around D comma zero and minus d comma zero Let me name them also so that I can refer to it. This is s1. This is v1. This is n1. This is center This is n2. This is v2. This is s2 Okay Now as Discuss in the ellipse. We don't want extra terms like c and d So I will try to write them in terms of a and e just like the way I did for the ellipse Now for that I will choose this point v1 as my point lying on the hyperbola So as for the definition of a hyperbola, we know that hyperbola is such a point where the distance of a Point from the foreside divided by distance of the same point from the directrix Okay, this is of the same point from the directrix is equal to the eccentricity Correct, and this e is actually more than one or a hyperbola Similarly, if I take the point distance from s2 divided by the points distance From n2. This should also be so very same point distance from s2 Divided by the same point distance from n2 or this directrix should also be okay So the first one gives me The first one gives me c minus c minus a By c minus a by a minus c by sorry Yeah, c minus a and this distance will be a minus d a minus d my bad is equal to e Remember this distance is a minus c Okay a minus Sorry c minus this is c Minus This distance which is a okay Divided by distance of the same point from the directrix Which is a minus d so from here I get c minus a is equal to a e minus d From the second equation similarly, can I say c plus a by a plus d is equal to e Okay, remember the distance of Remember the distance of v1 from cs2 will be nothing but a Plus c1 plus c. Okay a plus e so which is numerator term and distance of v1 from n2 will be a plus d Okay, so from here. I will get c plus a is equal to a e plus de So from these two equations, let me call them as one into If you add them You will get to see is equal to two a e so c becomes a e and if you subtract them That means if you do 2 minus 1 you will get to a is equal to 2 de that means d is equal to a by e So going forward, we will not call it as c We will actually call it as a e and you'll see that the same term was also coming for an ellipse Okay, and going forward. I will not call it as a d. I will call it as a a by e Okay, as a result the director says now will have the equation x equal to a by e and x equal to minus a by e Now the reason why director says are closer to the center is because you're dividing by e which happens to be a quantity greater than 1 So the whole quantity will become lesser than a as a result They they are closer to the center as compared to the vertices In fact, they are closer to the center as compared to the foci because foci you are multiplying a with e Are you getting my point? And the opposite was happening in case of a ellipse Okay, then if you divide by as quantity which is less than one that will become farther away from the center That's why your director says where farther away from the center as compared to the foci and or as compared to the vertices Getting my point so now having got these critical points and having got the equation of the Directises, let us find out its equation So I'll go to the next page I'll pull this diagram again Okay, so let's say this was our One of the foci Okay, and this is one is this is the directix corresponding to it. Let's take a point h comma k So what is the locus definition of a hyperbola the locus definition of a hyperbola is the ratio of sp to p m is E that means sp is e p m What is sp sp is under root of h minus a the whole square plus k square is Equal to e times p m now. What is p m over here? P m is nothing, but it is going to be h minus a by e mod correct H minus a by e mod Now you may introduce this e inside like this and Let us square both the sides Let us square both the sides So that gives us x h minus a the whole square plus k square is equal to each minus a the whole square That's nothing, but it's square plus a square e square minus two h a e Similarly here e square h square minus two h a e plus a square these two terms will get cancelled off These two terms will get cancelled Okay Now let's bring this a square to the other side and let's bring this h square to the other side and let's bring Cray square also to the other side So you will have e square h square minus one minus k square as a Square e square minus one. Let me know if you have any problems to the stage Now divide by a square e square minus one. So let's divide by a square e square minus one So when we do that We'll end up getting oh, sorry. It's the other way around. Yeah Yeah, it's h square e square minus one. Thank you, Ritu. Thank you So when you divide by that you get h square by a square minus k square by a square e square minus one equal to one Okay, let's generalize this Let's generalize this by replacing our h with an x and k with a y So we'll end up getting x square by a square minus y square by a square e square minus one equal to one Okay, now for the purpose of convenience, we will write this guy as a b square Now again, why b square? How are we sure that it's going to be a perfect square? Remember, what did I discuss with you? He was greater than one Okay, so e square will also be greater than one. So e square minus one will be positive So a square e square minus one will also be positive and hence there is no harm in calling this as a b square Right. So here you have a equation in front of you Which is one of the standard forms of the equation of a hyperbola. Now again, please Note that there is nothing like a greater than b or b greater than a In the same situation, you can have a greater than b also You can have b greater than a situation also That doesn't change the orientation of the hyperbola hyperbola will still be in this fashion where your Transverse axis will be along the x-axis and your conjugate will be along the y-axis Even though a is greater than b or b is greater than b Are you getting my point? Let me quickly show you right now. You can see on your screen. I have drawn a hyperbola where I have shown a is more than b even if I draw Let's say even if I draw Be greater than a Orientation is not going to change. Yes, their concavity is going getting changed as you can see this this para this hyperbola is No, slightly more bigger, right? Mean the arms are slightly more open But orientation is not changing Orientation in the sense that your transverse axis is still the x-axis Your conjugate axis is still the y-axis, right? So a greater than b greater than a doesn't make it, you know other way around We'll talk about the other way around also that is something else, which is not the case here, okay? Is this fine any questions? Any questions with respect to this? Okay, so few changes that you would see from the equation of an ellipse in the ellipse There was a plus sign over it actually there's no difference from the ellipse equation Because in an ellipse you had one minus e square coming up over it and there was a plus sign So there's absolutely no difference other than the fact that how we represent it is slightly different Here we take b square as a square Times e square minus one in the other case of the ellipse We used to take b square as a square one minus e square That's the subtle difference that you will see and that's why many a times you will realize when we do it in more detail That most of the ellipse nature is being taken by a hyperbola where you just replace your b square with a minus b square That's something which we'll talk about when we do the chapter in more detail as of now Please make a note of this Here you have to be careful Pakul the chances of you making a mistake is very very high. So Pakul was asking about Ascenticity when you are finding for this case remember your I'll just come from the same expression again. So your b square is a square e square minus one So e square minus one is b square by a square. So e square is one plus b square by a square And e becomes under root of one plus b square by a square Now here There is a lot of chance that if you do one plus a square by b square instead of b square by a square You'll still get an answer which is more than one, but it will not be your Ascenticity of the hyperbola. So the chances of you making a mistake here is You know there in case of an ellipse there was no chance at all, right? But here you can make a mistake. So here you have to be careful. That's what I can see Okay now coming to the equation of sorry the coming to the Later spectrum length, okay, let's talk about latter-sector length here itself. So I'll just take a latter-sector here Okay, so latter-sector is basically a double ordinate which passes through the foresight So let me take L1 and L2 as the extremities of the latter-sector. So it'll be minus a comma something Okay, and a comma something Sorry minus a comma something. Let's take all this as k. Okay. Let's figure out. What is k? So I will use the very same equation. I'll use the very same equation So a minus a e square by a square Minus y square by b square equal to 1 so this will simplify to This will simplify to Y square by b square is equal to e square minus 1 now remember e square minus 1 is b square by a square So y square is b to the power 4 by a square. That means y is plus minus b square by a So again, you realize the result is the same as what we got for an ellipse So that's why we say if you know your ellipse formulas properly even your hyperbola will be taken care of But with small minus changes. Yes, okay So the length of the latter-sector here would be the distance between your L1 and L2 Which is to be square by a units Is it fine any question with respect to the length of the latter-sector? Is it fine can I move on Okay, so this is one of the standard forms and just to recap in this standard form Okay, in this standard form the equation is x square by a square. I'll just write it on the other page So in this standard form okay Your transverse axis is along the x-axis conjugate axis is along the y-axis So orientation of the hyperbola will be like this Okay Remember your foci will be at a comma zero minus a comma zero Okay, center is at origin. By the way, let's say I call this as the vertices v1 and v2 this length v1 v2 is called the Length of the transverse axis Okay, length of the transverse axis here is to a units Okay, now is there anything called the length of the conjugate axis But there is no intersection of there's no intersection of the hyperbola with the conjugate axis So how can we find the length over here? Now all of you plus pay attention Why it is called conjugate axis.  So e is real one is real a square is real. So b is also real Now here if you try to find out where does this hyperbola cut the y-axis that means try putting x as 0 If you try putting x as 0 you will get something very it's strange You get something very strange you get y square is minus b square Thereby suggesting that square of something is actually a negative quantity Now b is definitely positive. So y has to be imaginary in this case, which is plus minus b i Right so actually your y-axis is being cut by the hyperbola at imaginary points And those points are actually b i and minus b i Since b i and minus b i in the language of complex number are known to be conjugates That is why this axis is given the name as conjugate axis, but it is not a real cutting Because you cannot see it Right when you're drawing it on a when you're drawing it on a real Cartesian coordinates You cannot see this cutting happening because if you're seeing that cutting happening That means those two points are having real coordinates not imaginary coordinates in this case They are cutting which you cannot see and since you cannot see we say they're cutting at imaginary points So which are those points b i and minus b i? Getting my point okay, and that is why the name is given as a conjugate axis to it because here the Hyperbola cuts the axis in two points which are conjugates of each other Now for the purpose of just mentioning we say that this point. Let's say b1 is b2 are these two points So b1 b2 length, which is actually to be length is The length of the conjugate axis, but this is hypothetical Okay, this is hypothetical because you cannot see this length you cannot see this cutting happening Okay, so hypothetically we say that the length of the conjugate axis is to be units Is this fine make sense here only some people feel a slightly you know disconnect from it But here is the instance where you are seeing a real coordinate system, and you're also talking about a Imaginary axis at the same time Okay, so imaginary axis is being used over here fine All right again I would like to tell you there is nothing like a is more than b or b is more than anything can be more than the other It doesn't depend on that. It doesn't depend on that Okay So with this I will introduce you to one more standard form So this is one of the standard forms just like in hype ellipse We had two standard forms in hyperbola also there will be two standard forms one of them is what you are seeing right now on your screen Okay, the other standard form is the one where the Transverse axis is along the y-axis and Conjugate axis is along the x-axis that means your hyperbola appears to be like this Okay, please draw arrows over here. So this becomes your transverse axis and this becomes your conjugate axis Okay, but what we'll do is we'll count will continue with this Nominclature will call this point as 0b will call this point as 0 minus b So your vertices are 0b and 0 minus b Your foci I will take it as 0 be and 0 minus b Okay, and let me show you the directresses also. Let's take this as your directresses So directresses is y is equal to b by e and y is equal to minus b by e Fine Now for such a case if you start deriving the equation you realize that I'm just saving I'm just saving your time over here Your equation will look like this x square by a square Minus y square by b square equal to minus one will come Many books will write it as y square by b square minus x square by a square equal to one But what I follow and I will recommend you to follow you just follow the same left-hand side version as what you followed for the previous But one will now become a minus one One will now become a minus one and here your b square. Sorry here your a square will be B square times e square minus one so small changes that you are going to notice over here So now your a square will be b square times e square minus one in other words e square minus one will become a square by b square So e square will become one plus a square by b square. That means your e will become under root of Okay, so this is what prakul was asking. So, how do we refrain ourselves from choosing a wrong position of a and b? You have to be careful all I can say So whenever you realize that in your equation, there is a minus one appearing when you are writing it like this It's a case of the actually by the way, this is called a conjugate hyperbola We normally call this as the conjugate hyperbola. Okay. In fact This hyperbola and the other hyperbola are conjugates of each other. That is what we should call it But yeah, most of the things are basically same as in ellipse It's just that your b square is getting changed with a minus b square prakul, right? So all your formula that you have seen for an ellipse the same will hold true It's just that the b square will get replaced with a minus b square. Okay. Now a Universal formula that I would like you to remember is eccentricity is always one plus semi conjugate axis length whole square by Semi transverse axis length Always it doesn't depend which case you are dealing with it's always one plus semi conjugate whole square by semi transverse whole square Right. So in this case your a becomes semi conjugate Okay, and b becomes your semi transverse Okay, in the previous case b was semi conjugate a was semi transverse. Okay Another important change that you will see is the length of the lattice rectum length of the lattice rectum in this case will become to a square by b Again the universal formula for this also is there universal formula for length of the lattice rectum is two times Semi conjugate the whole square by semi transverse value Okay, any questions So just like we had done a comparative study in case of the two standard forms of ellipses We'll also do the same for the two standard hyperbole. Let's go on to the next page so certain difference first of all in the equation is this equation will have a Structure like this and the conjugate of it will have a structure like this So where is the difference coming in the presence of one and minus one? In case of ellipses the difference was coming in which is more whether a is more or b is more, right? Here, there's no AB comparison here. The comparison is whether there's a one here or whether there's a minus one here Are you getting my point? Okay, so for such case your equation for such hyperbola your hyperbola will look like this I'm just drawing a rough diagram These will be your direct cases Okay, for such case your hyperbola will look like this Just a rough diagram So where will be the center? Where will be the focus? Where will the vertices? Let's look into that as well So, let me just name them first center. We'll find out. We'll talk about center. We'll talk about vertices We'll talk about eccentricity We'll talk about the four side We'll talk about the equation of the direct cases We'll talk about length of Lr lattice victim We'll talk about We'll talk about length of transverse axis and we'll talk about length of conjugate axis Okay So, let's do a comparative study quickly will not take much time here Right center for both of them will be zero zero center for both of them will be zero zero no difference in the center Okay, what is his hair will be a comma zero and minus a comma zero Whereas what is his hair will be zero B and zero minus B? Eccentricity here will be under root of one plus B square by a square Eccentricity here will be under root one plus a square by B square Okay, however, do not follow the do not forget the standard formula or the universal formula Forci here will be a comma zero and minus a comma zero Here the first I will be zero B and zero minus B The equation of the direct cases here will be x equal to a by and x equal to minus a by Here it will be y equal to B by and y equal to my Sorry y equal to minus B by Length of the latter system here will be to B square by here. It will be to a square by B Okay Length of the transverse axis here will be two way units This will be to be and this will be to be this will be to Is it fine? Let's quickly take a question. I Hope you have copied this down. These are the subtle changes Okay Let's take this question first This is just based on your basic locus definition of the hyperbola There's a hyperbola whose directrix is at 2x plus y equal to 1 focus is 1 comma 1 Remember whenever they mention a directrix and a focus it is the corresponding directrix They cannot mention your focus of one and the directrix of the other Okay, so this focus and these directrix are basically married Okay, and a senticity is root 3 which of the following gives you the equation of the hyperbola Let's have the pole One and a half minutes is good enough or two minutes max to max Time starts now one minute over. I have got one response only Okay, five four three two one What what what what? Okay, 14 of you 15 of you in fact have responded with most of you going for option B So as we discussed with you the locus of hyperbola is SP should be EPM Okay, so SP I'm directly using X and Y. Let's not waste time assuming h and k and then converting it to X and Y Save let's save our time and energy So this is our SP is Equal to E times which is root three times PM PM will be mod of 2x plus y minus 1 by under root of 5 Okay Remember most of you forget this root 5. Okay, so take this root 5 on the other side and square it Oh, sorry now, let's try to collect terms Here I will get 5x square But here I will get here. I will get 4 into 3 12 x square. Okay, so you'll have 7x square coming up. Okay Here I will get 5 Y square here. I will get 3 y square. So I'll get minus 2 y square I think clearly option number a comes out as the answer, but I'll still continue to solve this and Here I will get 4 x y into 12 which is 12 x y okay X term will be minus 4 minus 4x minus 12 x Sorry minus yeah minus 12 x and Here x terms Minus 12 and here it comes out to be minus 10. Right, so it'll give you 2x Sorry minus 2x minus 2x Oh, oh, that's where the answer differs So we should not be in a hurry to conclude Right Yeah, so minus 4x and this is 12x and here it is giving you minus 7x. It's minus 2x. Okay Y term will be minus 6 y and from here I will get so you'll have 4 y Okay, and this is going to be 210 and this is going to be 3 so minus 7 equal to 0 Which clearly means the answer is none of these The answer is none of these Okay, of course B is not correct But many of you went for D which was option Which was the right option. Okay, so D is correct in this Any questions anybody Any questions any concerns? Okay, let's move on to the next Find the foresight of this hyperbola very simple question. Let's have 45 seconds for this not more than that very good 5 4 3 2 1 Okay, most of you have gone with option number C Let's check So for finding the foresight the first thing is always we need to establish what kind of a hyperbola is this Okay So it is the hyperbola where you have the conjugate axis along y-axis and transverse axis along the x-axis. Am I right? Okay, so for such cases Semicity is under root of 1 plus B square by a square right B square by a square will give you a root 13 by 3 Okay Now 4 sign is that a comma 0 a is clearly 3 Okay, so 4 sign is root 13 comma 0 and minus root 13 comma 0 Option number C is the right option which most of you have gone with absolutely correct now When it comes to Shifted or generalized form. I don't think so. I need to discuss anything separately with you because it follows exactly the same way as what we did for ellipse and for a parabola as well So if let's say your center is shifted to let's say alpha beta If your center of a hyperbola is shifted to alpha beta it will become this or Depends upon whatever is the situation plus minus one I'm writing So I'm basically taking care of both the situation in one go Okay, and whatever you know about that corresponding hyperbola Just do a role change role play role change will help you to get the answer very quickly So I don't think so. I need to you know separately deal with this concept. We can rather spend time doing some questions Correct. Let's take few questions. Okay. Let's start with a very simple version Where do you think is the foresight of this hyperbola? Let the pole be on Let the pool begin one and a half minutes is good enough last 30 seconds Okay, Kinshuk noted five four three two One okay is the most Chosen option. So let's check whether he was correct or not So as you can see here that capital X is X only Capital Y is Y minus 2 A is for B is there. Okay, and the presence of a one Sorry presence of a one over here shows that it's a case where your Transverse is along x-axis or transverse is shifted Version of the x-axis. Okay So let's try to solve this So a centricity is what so first of all with without a centricity. We will not be able to find out the Forci coordinates. So it's under root of 1 plus B square by a square which is root 13 by 2 Okay, so for psi is x equal to plus minus ae and y equal to 0 So x equal to plus minus ae plus minus ae Oh my bad My bad. My bad. My bad. This is going to be four small judgment error. This is going to be five by four Yeah So plus minus Five Okay, and this is nothing but y minus two equal to zero Okay, so your answer is plus five comma two and minus five comma two Which is obviously option number a is that fine any questions? All right Let's take a question where we need to complete a square if at all we have any This we have already done Okay, let's take this question for a change Vertices of a hyperbola are at zero zero ten zero one of its four psi is at 18 zero Okay, find the equation of the hyperbola one and a half minutes Time starts now Okay, last 15 seconds five four three two one Okay, okay Most of you have gone with option number B Let's check So deal all I've done a rough diagram here. Please do not Mistake this to be your x-axis and this to be your y-axis It may be but I've not drawn it by that intention So I've basically shown you the vertices which is zero zero ten zero and I've shown you the one of the four side So first of all the center is the midpoint of the vertices. So this has to be five comma zero Right center is very important. So center is at five comma zero This distance is what we call as a and this distance is what we call as a e Okay, so a is clearly five and And a is clearly 13 that means he is 13 by five Right now in this case if you analyze it from your coordinate geometry point of view You are basically looking at a hyperbola, which is slightly shifted to the right by five units Correct. So it is a standard form which is shifted by five units to the right Correct, right So its structure will be somewhat of this nature X plus minus alpha whole square by a square minus y plus minus beta whole square by B square equal to 1 Why not minus 1? Because its transverse axis is either on the x-axis or parallel to it Okay had the transverse axis been along the y-axis or parallel to it Then I would have written a minus one over here. Oh, sorry. I wrote a minus one It's actually a one by mistake. I wrote a minus. Okay now In this case where your hyperbola was basically a case of transverse axis being You know parallel to the x-axis or you can say on the x-axis your B square was a square e square minus one so a is nothing but Fixed what about B square? Let's figure it out. So this is 13 square By 25 minus 1 this will come out to be 144 Correct center is at 5 comma 0. So alpha beta is 5 Alpha is 5 and beta is 0. So your final equation will become x minus 5 the whole square by 25 minus y square by 144 equal to 1 which is clearly which is clearly option number B Okay Now I will not take a lot of your time. I'll basically cover up two small concepts One is the concept of focal distance focal distances So if you have a hyperbola and let's say I take it as a standard case This is your S1. This is your S2 and this is a point x1 y1 Okay, what is the distance of this point from the two four sides? So what is S1 P and what is S2 P? Okay, I'll follow the same mechanism as what we did for What we did for an ellipse. So let's say I drop a perpendicular on the director which is M1 So S1 P is P M1 Okay, so what is P M1 P M1?  This will be a M2 Okay, and this will be x plus a by that is nothing but E x1 plus a Here you will see that the difference of the two focal distances is basically to a That means it is another definition or locus definition of a hyperbola Where it says that hyperbola is locus of a point Moving in a plane in such a way In such a way that the difference of its distances Difference of its distances from fixed points is A constant is a constant by the way many times in the books They will write the modulus here because you do not know which is more Okay, you do not know which is where whether S2 P is more or S1 P is more because if a point is here S1 P will be more Okay, and S2 P will be less. So in order to show that this difference is a constant We normally write a mod or sometimes in the books. You'll see they'll write S1 P difference S2 P is equal to 2. That's another definition of a of a hyperbola Okay, now here also a very important concept that comes out is if you Keep a light source as one of the focus after hitting the parabolic reflector it will take a path Which if you extend backwards will meet at the other focus I'll repeat If you keep a light source at one of the foresight After hitting the hyperbolic reflector, it will take a path which if extended backwards Will meet at the other focus Just like we had it for the case of a ellipse Getting my point okay, and Last thing that I would like to discuss with you is the parametric form and again parametric form is not going to be immediately Required, but I don't want to waste time when I am doing it with you in the After your semester exams classes So parametric form for let's say I take this standard case So there are actually two parametric forms that we normally talk about one is a seek theta and Y is beta and theta. This is one of the form which is mostly used In some cases you will realize that your books are also using This formula where theta here is a parameter. So this is another form But this is something which is very less seen Okay, I've seen this to be very less. How many times I'll also seen this kind of a formula a T plus 1 by T and Y is equal to B by 2 T minus 1 by T So these are different different, I know parametric forms, but the most commonly one uses this one, okay? Yes, absolutely. This is your Cosh Okay pronunciation is Cosh This is shine Okay So this is called hyperbolic functions. Okay, so X equal to a Cosh H theta you can write it and Y is equal to a shine It's not sign sign is if in shine shine The pronunciation is shine shine sign theta. Okay. Anyways If let's say if your hyperbola is the conjugate version that means if you have x square by a square Minus y square by B square equal to minus 1 We just flip the position. So basically here X will become a tan theta and Y will become BC theta Okay, so this is the most widely parametric form real. Why will I joke shine in Cosh? It's not a mispronunciation. It's the pronunciation that we use for hyperbolic function Cosh shine Hahaha Sounding funny, huh? Okay Let's do some questions Let's take this one. I Think simple one Yeah, yeah, there are so many parametric forms possible. It's up to you But the ones which are seen in the books are normally AC theta and a tan theta. Okay Let's have the poll for this our letter-sector length is 8 as intensity is 3 by root 5 What could be a possible equation for the hyperbola? C and D are definitely not hyperbola Actually, these chapters are very very long in hyperbola only we have a concept of rectangular hyperbola and all those things in fact, I can introduce it to you in one quick shot and After this problem, let's complete this Yeah five four One are quite mixed response a and b have got equal number of votes However, only eight of you have participated in this polling anyways So C and D cannot be your answer, right? And as you can see in your options They're basically talking about this kind of a hyperbola. Okay, so you have to work as per the options Okay, I know there could be two possible hyperbola, but work as per the options So as per this option your hyperbola's letter-sector is to b square by so this is given to you as 8 Ascenticity is given as 3 by root 5 Okay, that means b square is given as 4a Okay, b square is given as 4a and e square is nothing but 9 by 5 Now what is e square for such a hyperbola? It is 1 plus b square by a square Okay, that is 9 by 5 that means b square by a square is equal to 4 by 5 and b square is 4a right, so 4a by a square is 4 by 5 that clearly means a is 5 correct Yes, so if you see this it is actually x square by 25 minus y square by 20 equal to 1 and this is a case where your a is 5 so option number a has to be correct It cannot be b. Don't waste your time finding your b out because you'll not get a different answer from there Now one small thing I would like to talk about is rectangular hyperbola Just one minute of your time I will take So what is a rectangular hyperbola? It's a hyperbola where your length of the transverse axis is same as the length of the conjugate axis okay, in other words Instead of a b you can write a instead of this b you can actually write a a square So it becomes x square minus y square is equal to a square. Okay Now in school, they don't tell the actual picture. Why it is called a rectangular hyperbola. Does anybody know? Why rectangular hyperbola? Yes see We'll do it after the Semester exams in a hyperbola. There are actually asymptotes Okay, we'll talk about asymptotes. I should not draw it with this So asymptotes are basically lines which pass through the center and their tangents to both the arms Okay, these are called asymptotes asymptotes are line which basically touched the curve at infinity In a rectangular hyperbola, these asymptotes are at 90 degrees to each other Okay So when these asymptotes are at 90 degree a will automatically become equal to b because this line is actually x by a minus y by b equal to 1 sorry y y b equal to 0 and This line is x by a plus y by b equal to 0 So their slopes product is minus 1 slope here is you can take the slope to be b by a slope here is minus b by a So since m1 m2 is equal to minus 1 Minus b square by a square is minus 1 so a becomes equal to b Okay, that is why it is called a rectangular hyperbola But what is important for you is just to know that a is equal to b and a sent it a centricity for a rectangular hyperbola is a root 2 Okay So with this we Close the school level discussion of conic section next class will be on Probability, okay. That is also very easy chapter. Basically. We have introduction to probability. Thank you Take care. Bye. Bye. Stay safe