Oh my god. Um, wow. This is kind of insane. I never thought I'd actually be seeing this, but I have a vlogging camera. But since we all know what happened with that other video, I'm deciding that it's time for me to get fully committed to YouTube. I'm done half-assing it. I'm done taking breaks. I'm done doing silly excuses. And I think that you guys genuinely enjoy watching me and like go through real life situations because no YouTuber shows this anymore. So I thought, why not vlog some of my life? But if you want to see the mess that it's created since the day I got it, which today. Wow, wee, everybody. Now to organize this all, so we'll just, we'll see how that goes. But let me know, like if you guys want more of these vlogs, I'm definitely not gonna do daily ones because that's insane at Jake Paul. But maybe like a weekly vlog every now and then to show you what's going on in my life when I'm doing. Cause I feel like it's nice to update you guys cause you guys are my friends. I mean, I talk to a lot of you.  Let's just, just watch. Someone please, please tell me what in the world this is. Like, I've never seen it before. I'm so lost, I'm confused. I'm like honestly convinced this is some, some plug in Europe. And this is the extent of boxes I have. For those of you wondering, this is the camera I bought and we have one, two, three, four, five, six boxes for you. I don't know why I'm a hoarder. You'll get to see my closet someday. All right, let's see here. Tomorrow I have to go on a field trip to a poetry festival actually in Newark, New Jersey. Going all day with my friends on skipping school and I have to dress well and comfortably because it's like freezing now. Freezing is below 60 for me by the way. Outfit is ready. This could be the end of tonight. I mean, I don't know what else I would do that is actually, actually hold on, hold on, hold on. No Patrick Mayonnaise is an instrument. Oh my God, you guys honestly need to tell me what to improve about these vlogs. Like yeah, it's my first vlog that I'm doing and I'm not really experienced and I know all of you watch those vloggers out there. So I would love to get some assistance. I mean, like any tips, I'm open to criticism, like tell me, because I wanted to improve for you guys. But gotta look fresh for tomorrow obviously. Got to get rid of all the acne so I can have clear skin for once. Until then, I'm just gonna respond to you guys on Snapchat, Instagram, and Twitter because I love doing that. I'm really trying to think of what kind of vlogs I wanna make. I don't really know yet. The thing is like I watch Conan Gray. I watch Cat Creature. I don't watch any of the big YouTubers vlog besides like Jenna Marbles and her Christmas vlogs because I just don't like forced entertainment, I guess. I like things to be genuine and spontaneous and not everything is like, oh, we almost ran over someone. Like why can't we just have calm days and enjoy people living their lives and watch them go through real shit? And I think that's what you guys want because that's how I've always been. So I'm gonna do what I feel is right. Please tell me if audio is okay by the way because I have no idea yet. We'll see in the video. And it's also so hard to believe the fact that this was 39K last week. And it's not me trying to brag. I am genuinely surprised by it and never expected this to happen to me. And I mean, obviously you can tell I'm trying to make the most of it because I feel like this is my second chance that life is giving me and I don't wanna lose that anymore. So I'm gonna be committed to it. Because I remember for the new year, I was still in like an awkward place in life and I didn't know what I was doing. Didn't know what I wanted to do. And I said, you know what, Frederick? Like why not just say, reach for 100K by the end of this year? At the time, I had 10,000 and last year my goal was that. So I reached it. I just thought 100,000 is so out of the ordinary. It would never happen in real life.  So I tried not my best but I did what I wanted to at the time which was like occasionally be consistent and sometimes I just hang out with friends and don't prioritize you guys. I didn't prioritize my mental health and like I'll be in all of that conversation. We've been through it. But when I took that break, I remember realized that I was just not confident that this could work out and sad to say that getting a viral video makes you more confident. I mean, it does. I'm not gonna lie about it. It made me more confident. It made my parents more confident that I could, you know, pay for college and have a side job that isn't like a bad job. But at the end of the day, even though I have college applications, homework for AP classes to go around, respond to you guys daily, making new friendships, hang out with my friends, taking care of myself, doing photography, making videos, vlogging, all this stuff I'm so happy to do because if my job in life is to just have fun, record it, edit it, what is there to complain about is my motto. So I'm really happy that I can do this and I really thank you guys for it. And like I said, at 100K, I promise you guys a gaming channel. I promised you I would make merch.  Unless I'm really boring at vlogs, then I'll stop. We'll just do other stuff. Oh, my mom's home. Let's go visit her. Ah. In there. It came in with a new camera. Oh, it's good? Mm-hmm. Okay. You happy? Yeah. The fact that they support me with this and my relationship with them is better than ever. Like, it runs a lot. Life's going good. And I got this little cat with me.   No, you don't. All right, but this mask is starting to make me unable to speak, so I'm gonna wash that off. Diesel. Diesel. Okay, your food. It's really, really, really old right now. I think it's about 30 something. And this is the extent of what I'm wearing. It's a stage room, by the way. I have a field trip today, so I have to pack for food. Abbey, say hi. Look at the rainbows. Oh, Abbey. Ooh. Ooh. Ooh. I know, right? We're currently at Newark, New Jersey for the Dodge Poetry Festival. It's like the biggest poetry festival in the northern hemisphere or something. And it's about to start.  What you're gonna see today have dedicated their lives to an art form. Thank you all for being here. I'm gonna have to thank the organizers. There's just a lot more to put this together. Okay. Hello. When you were talking about writing as a whole, and we would all marvel as the sun and moon started looping the sky like a jit, it's pronounced jit, as the car is going to pop, and then as our fan. Okay, I'm home now. Oh my God. Poetry Festival. That's a whole lot of me, because that was like three hours worth of driving on a bus and sleeping, my eyes are so bloodshot from it. By the way, I never talked about the glasses I wasn't wearing, but these are from Fermu. They may be fake, but it's really good quality, and they're nice enough to give me this code. Not sponsored by the way. It's your choice to use the code. You don't have to or anything, but just know that if you want clear glasses like me, this is a good company. And I'm just very comfortable in this outfit right now. It's three layers. Diesel's being bad, it's okay. But later today, I have to go shopping with them friends, because we have spear week next week, and you're gonna be seeing all my outfits because we are going all the way. Oh my little diesel. Hi, hi, look at you. Oh, oh my God. But I don't feel like changing that much, so I think I'm just gonna rest for a little bit and like sleep a little more before I have to go again. Late in bed all day. Ah, I legit just took a nap.  We have to go to play this closet, we just sit there. Ah, nothing is going right for me.  Hello? No. Anyways, we have to go to play this closet, we just left our store, and then we have to go to like the dollar store, and then we have to go to somewhere else. What's that fun? All right, so we're in the same outfit because I'm way too lazy to change. I also have to get this put into my car. It's like something you put for cameras, so I can vlog while I'm in the car. And I'm prepared to struggle because there is two steps for this. Today is a pretty cloudy day, but I'm actually found that because I find clouds pretty, like it makes me happier than the bright sunny day when my eyes are blinded. All right, let's see how they do this. First step is to install this, but I'm gonna take off the adhesive thing, I'm gonna get my alcohol pad. Oh, God, I can taste it. Stick it on there, click in. Ooh, that seems pretty solid actually. Upside down like this. How do you expect me to turn my camera like this? Why does this work so good? I'm so impressed.  I have biggest numbers on all of them. No, not on that one. Yeah, they're fine. She's fine there. Hey, everyone.  Look at the camera. Is it recorded? Yeah, it's recorded. Can I call them? No. It's time to get some of that spear wing stuff. And get. Ah, hug me again. No.  Okay, wait, America first. America first, find America. This is it. I can't wear a skirt. Actually, I could wear a skirt. Did they wear afros in the 80s? Yes. I'm already doing an afro with my hair. I have my own hair. I know, world's biggest afro wig. It's like a challenge, a YouTube challenge. Should I just buy this? Put it on my head. Honestly? Yes. I'm doing America Monday, guys. Got all their stuff. This is all we need for spirit week. I, Frederick, don't put this in the video.  All right, so we're gonna, cherry. No. Morrish town. M-O-O. We wanna give out our location. You know what? Geographically on the map, it's about 131.7 feet. We're going to the thrift store. Ladies closet, the best thrift store here and the only thrift store here. All right, let's see what we can get. Hmm, hmm, hmm, hmm, hmm. These men's, all they are. I will definitely not fit in them though. All right. And there's a drive-in movie going on right over there. Right all the way down there. Now, we're just getting food at Chipotle, because we're fat. At my Chipotle. Woo!  What's going on? They're playing, they're playing Justin Bieber. All right, so what do we do today, Abby? We went to Play-Dohs and now we're going to the Target. Can I buy something for $4? Sure, did. And what do I need from here? Makeup brushes. And why do I need makeup brushes? Are you going to draw on your eyebrows? Yeah, what am I drawing on my eyebrows today? Next week I'm going to be. Red, white, and blue? Yes. Oh, I have to lock it. Please, yeah.  He's being held up. I had the big camera too, it was even worse. It was like holding the big camera like this. I'm so white that I'm... I'm blind. Wait, Abby, can you please pose like them? Please, please. Abby, do you like pumpkin spice?  No, do you like pumpkin spice or not? Do you like it or not? No. Where did this come from? Here you go, man.   These are cheap, they're a dollar. Is there like a set? I'm looking for like a... A dollar. A dollar, friend, do you know what I'm saying? Is the small angled brush the good brush? That's three dollars. You know what? A dollar. But that was not good for eyebrows. This is your friend. Oh, I forgot, we're having a sleepover tonight at my house, so I'm sorry if this video goes up You literally have to introduce who Maya and me are first. Okay, well, did she... Wait, no, I don't want to... No! We know Ethan! I want you to put that. And then slash Ethan all over it. No, I'm not kidding. It's gonna be so funny. Okay, okay, okay. What you have to do is make sure I'm in the frame. Wait, here you go. All of you heard of the song, right? Bitch, I'm a cat. I'm a cat. Bitch, I'm a cat. Bitch, I'm a cat. I'll go moo.  Why?  Happy birthday. It's a ten dollar birthday. It's a ten dollar birthday. Go like... Shock! Chocolate! Wait. Wait, what's this for?  What?   I think I just want to look back at this when I'm like 30. Oh! No, look here. Don't look there. I look like I'm just a neck. Here, you always have been. You're the neck. But I think I just like this so when I'm like old, I'll look back at myself and be like...  I'm sure Jake Paul will do the same thing. Oh wait. Who? I didn't seek. I didn't seek. I didn't seek! Okay, I get the Eek, but what's Hyde being? Oh, I just... I just realized it. Oh, we're coming back for this one. Okay, I'm gonna... I'll see you at my house. Oh, it looks right on the camera. It looks what? Right on the camera. This is actually orange. I got it for $4, but... It does look red. Yeah. I wish it was red now. But it's too early to get my hair done. Give me a minute.  Because you probably... I bet that. Sure. No. No. Ah, ruin my hair. I'd rather be woman because I thought something was good. Okay. Maya, be happy. Do you want me to highlight it so you can still see like strips of the dark? Or do you just want your roots dark and basically the whole tip? Um, the first one. Because you still want some light dark going through it. See in the back when we got the dryers. Did you turn it on? Oh, my God. Bravo, noodle boy. Look here. Not here. Look where? There. Hi. She's doing her hair red. Like Ariana Grande. And he's dyeing his hair purple. Purple. Thank you, Addy. I'm hanging it on you. And I'm back in the chamber. I think I'm done incubating for now. Actually, it's not. That's a change. We're going to have a great day at work. I feel like the majority of this vlog has been us just going to places to eat. Right? Right? I'm coming. I'm coming. I'm God. Thank you, sir. Oh, God. All right. I'm going to do this. Yeah, I'm fat. I get it. I'm so full. I am so full. So much to eat. All just because I... I got to go to work. I'm going to go to work with new hair and a freaking woman's shirt probably. And glasses from that same company, by the way. Let me dye. Honestly, it's a woman's jacket probably because the buttons aren't... Can someone please tell me? Just confirm. Yeah, I have so much homework to do and I really think that it's better for me to just end the vlog this week because it's a lot of stuff. Trust me, I don't hang out with my friends every single day like this. It's mainly just work, sleep, work, sleep. But to everyone who's still watching, thank you. Let me know your honest opinion about my vlogs. What do you want me to change about it? What do you want to see? What do you like about them? Any feedback is helpful. And I'll see you guys next week, I guess, on a new vlog. And I love you guys, by the way. And everything is less than three. I can't really do the sign right now because I'm holding you. Yeah, wish me luck on homework. I'm busy editing, Jesus. Thank you.


Pixar's Turning Red is the highest budget animated Asian film ever. It's centered around a traditional Chinese teenage girl. And if you don't like the movie, are you being ignorant? Welcome everybody to the hot pop boys. David and Andrew here. We just watched Turning Red last night. It's very entertaining. I did enjoy it, but it's also kind of weird and confusing. It's throwing a lot of different cultural elements from the East and the West mashing it together and a lot of other people find it very polarizing and controversial as well. It has been generating so many comments on the Internet. I'm talking about like thousands and thousands of debates.  It became a Christian versus Dallas like ancestor worship thing. It became a Western versus Eastern thing. It became like a Chinese versus Chinese American thing. I don't know. It's got a lot going on. Let's talk about it right off the bat. Who would really, really like this movie? I would say that anybody who had a sister going up or is a female, obviously all women went through puberty. Obviously a lot of like Asian Americans who have a particularly unique relationship with their parents and filial piety, specifically Chinese people relate to this movie heavily. Yeah, I mean, obviously if you related to Over the Moon or Shang-Chi or Tiger Tail or any of these movies that deal with this strict like I want to rebel against my parents where in the movie almost a spoiler alert, the villain is the parent. Then it's almost like how could you not relate to it? And if that's something you saw growing up, you're going to feel it viscerally too. Oh, Andrew, when it comes to filial piety and Chinese storylines, don't stop there. Let's go Mulan crouching Tiger Hidden Dragon. Joy Luck Club, Crazy Rich Asians. I think every Chinese movie that's come out maybe ever dealt with this thing and that's really the crux of it. And that's what's very amazing about it in a way is like, holy crap, like I guess that's Chinese culture right there. Listen, guys, I never thought I would see $160 million dedicated to telling the story of our older sister. There was a lot of cultural touch points that I thought were a 10 out of 10. Was the execution of the film at a 10 out of 10? No, but you know, I support Jeremy Lin at a 20 out of 10 level from a casual observer who was not Asian. Was his career 10 out of 10? No, was this movie a 10 out of 10 for representation? Yes, but in terms of like was a little bit discombobulated sometimes feeling yes. You high expectation Asian father. All right, let's get into the outrage of one of the reviews because this is actually a lot of what people are talking about as much as people like the movie and are breaking down the movie from a cinema standpoint.  It's limiting in scope. It feels like it's just for Domi Shi and her friends. And while he was criticizing, you know, the execution of the art, he was it felt like he was kind of criticizing the culture of it. Yeah.  Let's be honest. I'm not saying cinema blend is or is not racist. Was it beyond the baseline of racism that it they might just normally have or otherness? I don't know, but his tone was off. Well, I'm just saying if he leaves a review like for the next Buzz Lightyear movies like this movie and this hero Buzz Lightyear is just amazing. And I relate to this character with this square chin so much five out of five. I wish people could leave a honest and critical review and just let it live and not get canceled for it. I think that you should let the older generation that is losing dominance in America express how they feel, but you should honestly have a dialogue with them and let them know that they are being like stuck in the old Beach Boys like Baba Ram. They're they stuck in those days. Brings us to our last point. David, this movie was a mishmash of a lot of different elements. There's Mean Girl elements Kung Fu Panda, Shang Chi over the moon, Sailor Moon, Wallace and Gromit. There's studio Ghibli, Hayako Miyazaki, Joy Luck Club, whatever. I don't know. There's just so many different elements in this movie that kind of make it in a way. Great, but of the mishmash of all these different kind of like animation styles and jokes. It's just like a question for me is like, does Chinese culture always have to be so mystical? And is that what to be honest is also going to sell overseas and that's why these Chinese themed American movies tend to be so I guess Chinese. I almost expected to there to be like Oracle bones and like a turtle shell and she did crack her jade. And last but not least, one of the more interesting questions that I have as a Chinese American is and I'm a person who's seen a lot of the Chinese theme movies that have come out, whether it's Tiger Tail, Shang Chi, farewell. Does Chinese culture always have to lean back on the ancient mysticism and mythology because that's like the theme across all these movies is about like the superpowers and ancestral worship. And does it always have to go back to that? China market in general kind of looks to the past. I think that that's the one differentiating factor when people ask me what makes China different than the other Asian countries around it. Even some that may have been heavily influenced by the Chinese culture is they tend to look forward and they tend to look Western. China is the only one that looks inward and it looks backwards. So that affects its Wusha Pian domestic market first consumption where all the big Chinese movies are not like modern Cade Pops or Cade dramas. I think the other aspect is just as Chinese people in the West or Chinese people, even modern culture in mainland China right now, they don't really know what is modern Chinese culture. It is still actually coming like to fruition as we speak. Is it? It's not clear that it's not like so you might as well look back to the Song Dynasty themes. Well, is modern Chinese culture wearing supreme eating hot pot and skewers? Right. We don't know because I think a lot of modern culture is so dictated or influenced by the West. Right. Right. And Japan influenced by the British. They got this like super future thing going on. Koreans got this like preppy hip hop thing going on. It's like hard and I think a lot of people, movie makers or artists, they look at the ancient Chinese culture. I don't want to take it for granted because there's so much history, so much content, so much mythology, so many colors, so many outfits, so much history stories, dynasty, so many stories Mulan, blah, blah, all this folklore that like you can fall back on and they're just like, well, look at this wealth of content. We might as well use it. It's what's unique and it's what's not Western.  It is Chinese people looking back on their history and being mystical.  So let's make a movie about it. I just think that we're still in the process. It's like very difficult to say. I mean like we could pick this movie apart. Like why does you know Mulan only have strong women, weak men? Why does Turning Red only have weak men, strong women? Why does every Chinese movie seem like it's the same? I will say that these American reviewers who are like, oh, I don't relate to this movie or blah, blah, blah, like I'm Christian. So don't have your kids watch this movie because it's too mystical. I'm like, well, what about all those wizard movies? Don't let your kid watch Harry Potter because that's about some ancient weird mythology from that side of the world. All right. Closing it out Turning Red Pixar's new movie. It's out right now in Disney Plus. It's very enjoyable. It's very funny. I thought Abby the friend is the standout character and it did it did hit me in the field sometimes even me as a guy. I was like, oh, that's why I feel that way. So you guys should check it out and go watch it. Even if this is not the most successful Pixar movie at the box office, I actually think it's going to be a cult classic. Oh, by the way, the mother in this is hot. Beautiful gorgeous Sandra O character. Mingly beautiful anyways. All right, everybody, that wraps it up. Let us know in the comments down below. If you see in the movie, if you like the movie, if you don't like the movie and what you think about, you know, Chinese culture always being presented very mystically speaking. I mean, I think that's an interesting question. Are we going to see it more and more in movies to come? We're going to be keeping up with it and you know, I'll probably watch the movies. So you guys, let me know in the comments down below. This is the hot pop boys hit that like button and until next time we out. Peace.


The next concept that we are going to talk about is the concept of conjugate diameters Is the concept of conjugate diameters? So what is a conjugate diameter? So let me show you through a diagram. So let's say this is a system of you know parallel chords Okay, and this is a diameter Which bisects is parallel chords? Okay, so basically I can say this to be bisected. Okay, and now if I start making all chords Which are parallel to this? Diameter itself. Let's say I start making all the chords which are parallel to the diameter of this. Okay Then the line Let's say this red line which bisects which bisects these chords parallel to this line That is a red line Okay, so what I'm doing first all these white lines This is the diameter Okay, so let's say diameter one and these yellow lines all these yellow lines Including the diameter itself is bisected by this diameter which is called diameter two Okay, so I'll write down the definition Two diameters are said to be conjugate two diameters Are said to be conjugate are said to be conjugate? when each bisects when each bisects All chords parallel to the other when each bisects all chords parallel to the other So the red and the blue are conjugate diameters Now, please please please do not take this angle to be 90 degree This angle is not 90 degree. I'm writing it specifically over here Okay By the way, this will become a 90 degree had this ellipse been a circle. So let us take some properties Let us take some properties with respect to the conjugate diameters properties of Conjugate diameters the first property is The eccentric angle of the ends of a pair of conjugate diameters the eccentric angle of the ends of a pair of Conjugate diameters in an ellipse differ by a right angle Differ by 90 degree. Okay, what I want to say is very very clear Focus on this diagram. So let's say this this angle over here is let's say Theta and this angle over here is let's say 5 So these are the ends. Okay, let me name it as P Q So this is P. This is Q and this is C and let's say this is D Okay, so let's say the eccentric angle of point P is theta and the eccentric angle of point C is 5 Then you have to prove that Then you have to prove that these angles differ these angles differ Right, you can write theta minus 5 or 5 minus theta that depends upon But what is the location of theta and 5 with respect to each other? They differ by 90 degrees Guys, it doesn't mean this angle is 90 degree again I'm repeating this because the eccentric angles are taken with respect to the auxiliary circle. Am I clear? This doesn't mean this doesn't mean the angle between the conjugate diameters is 90 degrees You can anybody prove this? All right guys, so let's discuss this first Before I want before you prove anything else, I would like you to just You know try and prove this Let's say the slope of diameter M1 diameter 1 is M1 and slope of diameter 2 is M2 Okay, try proving that M1 M2 is b square by a square. That's the number one step prove that the product of the Product of the slopes of The conjugate diameters is minus b square by a square and Remember since b square and a square are not equal M1 M2 will not be minus 1 and if M1 M2 is not minus 1 the conjugate diameters cannot be perpendicular to each other Yes, they would be perpendicular But that would be a case when the ellipse has changed itself to a circle. Okay, so it's very simple guys how do we prove this Let's say the blue diameter is bisecting the The chords whose slope are M2 so I can write the equation of diameter 1 as Equation of diameter 1 as Y is equal to minus b square x by a square M2 right Because it is bisecting those chords which are having a slope of M2 Right and you doubt about that and the slope of this line itself if you see this is the slope of this line And the slope of this line itself is M1 which clearly means which clearly means M1 into M2 could be easily proved as minus b square by a square Right. So number one step is accomplished Now, let us move on to prove the requirement of this property We have to prove that the difference of the eccentric angles at one end of the conjugate diameters differ by 90 degree right Now this is origin. We all know that both the conjugate diameters will pass through the origin correct, right So what is the slope of OP? the slope of OP is nothing but B sine theta by a cos theta in other words, it's B by a tan theta Correct and this is nothing but M2 for you. This is your M2 right In a similar way What will be the slope of OC? Now without waste of time will say B by a tan phi and that is going to be M1 And we already know this property that M1 into M2 is minus b square by a square So I can say b square by a square tan theta tan phi is equal to minus b square by a square which clearly implies that Tan theta tan phi is equal to minus 1 which means 1 plus tan theta tan phi is equal to 0 right and If you try to use this formula tan theta minus phi You know that in this expression you Get the required expression to be this and since this fellow is 0 over here It makes this expression go 0 correct, so it becomes undefined Which clearly implies that Theta minus phi is going to be a multiple of 90 degree and you can just call it as a 90 degree Is that fine guys any question with respect to this? Okay, and because of this property and Because of this property if you say your point P I'll draw the figure again just for the sake of clarity So let's assume that these two are your conjugate diameters So if this is your point P and this is your point Q This is your point C and this is your point D Then point P could be written as a cos theta comma B sin theta then point C could be written as minus a sin theta comma B cos theta Okay, and Leason is to tell you how could D be written just increase theta with pi So it becomes minus a cos theta minus B sin theta and This could be written as a sin theta minus B cos theta So for the sake of clarity, I have just written down the the coordinates of the extremities of the conjugate diameters for you There is next property, which is your property number two From this figure prove that OC square plus OD square is going to be a square plus B square Now this is very obvious from the property number one So just do it quickly and tell me if you're done So just type done on the chat box when you're done I don't think so it should take so much of time. It's very simple OP is nothing but Sorry, this will be OP. Yeah, I'm sorry So OP and OC square. This does nothing but the distance of them. That means it's going to be a square sin square theta plus B square cos square theta minus 2 AB sin theta cos theta and OP square is a square cos square theta Plus B square sin square theta plus 2 AB sin theta cos theta These two terms get cancelled off and you'd be left with you'd be left with a square So these two terms will get you a square and these two terms will give you B square and hence proved Is that fine guys? Any questions? Please please feel free to ask me right now Next property the area of the parallelogram the area of the parallelogram formed by tangents at the extremities of the pair of conjugate diameters at the extremities of the pair of conjugate diameters is 4 AB So please prove this So I've tried to draw it as accurate as possible So let's say this is a cos phi comma B sin phi and this point is minus A sin phi comma B cos phi and this is the center of the ellipse again P O C So here we have to give the area of this parallelogram M N Let's say S T So you have to prove that area of the parallelogram M S T is for AB Square units Guys if you see any parallelogram Okay Any parallelogram if you construct we know that area of this parallelogram is Base into height right so how can we use this concept over here to solve this problem? Okay, so first of all I would like to know from you that is CD parallel to the tangent at P. So my question to you is is CD parallel to the tangent at P if yes, please type yes and is P Q is P Q Parallel to the tangent at C if yes, please type yes on the chat box chat box So guys is very simple to prove this. What is the slope of the tangent at P? The slope of the tangent at P Let me call it as slope of the tangent at at P Okay So the slope of the tangent at P. No problem Upish. That's fine So slope of the tangent at P would be nothing but B cos Phi by minus a sin Phi That's going to be minus a cot Phi and Slope of OC slope of OC is going to be B cos Phi by minus a sin Phi that is y2 minus y1 Right treat this as 0 0 and you just have to do y2 minus y1 by x2 minus x1 and of course they all match So these two are same. It implies that the answer to these questions is yes Yes, they are Right So if they are it is something like this I mean you have a line like this which is parallel to this line and You have a line like this which is actually parallel to this line Right Okay, and they're also passing through the point of intersection of the diagonals that is your origin Which clearly implies That these four areas would be equal Correct me if I'm wrong this all area, which I'm shading this area will be equal to this area Will be equal to this area and Will be equal to this area So all these four areas will be equal to each other, right? So it's like saying that all these areas over here Okay, I'm shading with different different slopes so that you can identify Okay These all four areas will be equal. This will be equal. This will be equal. This will be equal So if I just manage to find any one of them my job will be done So let us focus on finding out the area of this parallelogram If I'm able to find the area of this green parallelogram over here that is C O P M parallelogram and I just for it four times do four times that area my job will be done So let us focus on finding the area of that parallelogram. So let's Drop a perpendicular from the origin. Let's drop a perpendicular from the origin on to this parallelogram Okay, let me choose some other color pink Let me drop a pink perpendicular from the origin on to cm so if I multiply O P or Or cm so area of Palo gram C O P M Can be written as let's say a drop-up perpendicular called. Let's say O L So O L into C M Which is actually as good as O L into O P Now O P is easy to find out O P is under root of A square cos square phi plus B square sin square phi. So no problem in finding O P now O L O L is nothing but the perpendicular of perpendicular distance of origin from the tangent drawn at C Guys, just remember one thing the equation of a tangent drawn at any point on the ellipse is going to be x x 1 by a square plus y y 1 by B square equal to 1 and Here I'm drawing it at x 1 which is equal to Your x 1 y 1 point are actually Minus a sin phi Comma B cos phi So if I use this equation the tangent equation would be tangent at C would be x by a square into minus a sin phi plus y by B square Into B cos phi is equal to 1 so cross the factor of a it will become minus x sin phi by a Plus y by B sin phi minus 1 equal to 0. So now I want the distance of this point from the origin So the distance of this point from the origin So the distance from origin or distance of origin I can say distance of origin from tangent at C is equal to 1 by under root of Sin square phi by a square plus Oh, this is going to be cos. I'm sorry just a typo error So cos square phi by B square, which is actually a B by a square cos square phi plus B square sin square phi under root right So when you put these two things over here, that is this is nothing but your O L Okay, so when you substitute it over here this and this you get your area as your area as a B by under root a square cos square phi plus B square sin square phi into under root of a square cos square phi plus B square sin square phi Which gets cancelled off and we get the area as a B Now as I already discussed with you the area of the required parallelogram would be four times the area of the parallelogram copm so your answer would be Four times the area of parallelogram Copm so your answer is going to be four times a B Okay, and hence proved is that fine guys


Yeah, he like a dual threat as you would call it or like a triple that as you will call it for running. I mean he can both run catch. I mean lock a little bit too. So I mean the fact that he's able to do all those things you can tell he's very dynamic. Not the biggest guy either but he's not afraid to get physical. Oh no doubt man. He's one of those guys that's proving that he can get the job done whatever it is that they asked for him to do. So you know just unto us as a defense to make sure we you know contain him. QB filled in for Cam. I know he struggled last week at San Fran but he's played pretty well. Yeah I would say Kyle Lowland guy he's really good quarterback. The fact that he's able to be able to do the things that he's done you know in absence of Cam.  You know it's a bummer the fact that I don't know if Cam is going to be able to play with love to play against him. But you know for right now man we'll be preparing for Kyle. Sorry if you answered. You watch much of Keekley and learn much from watching him. Oh yeah I watch Keekley all the time. Keekley one of another great guy who's been to leave for as long as he's been man. I'm still doing some great things and being able to play at a high level like he has been. You know just as a linebacker you want to try to get as much you know information as much you know knowledge you can from a guy like him. Bobby White know those guys who've been to leave for a long time. Just getting those things and you know that can help you and you know you can use them. He was saying like he's a guy when you break the huddle. He knows what your calls are. He knows what your checks are. He's a middle linebacker. I mean how important is that and how much you admire a guy that does that much film study. Just kind of knows what the other office is.  You know the guy definitely puts he's one of those guys that really is a hard worker and it shows on Sunday. So just to be able to see that as young linebacker be able to you know go back and use that in my own game be able to even study even more than what I'm doing now. You know it just makes you that much better. Very important you know I feel like we've been teaching that all year but as many guys as you can get to the ball carrier you know it hides your chances of getting that guy down. So for us everybody you know full to the Tigers one of our little model things where we you know we're literally trying to get as many guys to the ball as possible. You know once we do that I feel like we'll be playing pretty good defense. Yeah at the end of the day I mean even then with the swam to the title I mean you know you get paid in the league for making tackles like that for making one on one tackle. So each individual I mean even though we you know we swam to the ball we want to make sure that the guy that's there we want to get him down. So you know that's just another thing as far as a challenge for us to be able to go over against another great guy like that and be able to have a challenge with that.


What's the word welcome back y'all today is no basketball and I probably should be doing other things other than recording basketball related videos But here I am. I'm I'm doing exactly that. I'm recording basketball related Okay, so there's no basketball So there that gives me an opportunity to talk about other things that's going on around the league And if you didn't know there are seven coaching vacancies it would have been eight if the butch lost Seven coaching vacancies right down the NBA and boy is that a lot. I don't know if that's the most in an off season I don't have the statistic but it feels like the most we've had in a long time And out of these seven jobs all of them are good jobs They've been times where I've seen a coach in vacancy and I was like, oof I would not test that with a 10 foot pole. So in today's video, I'm gonna be ranking basically I'm just gonna be talking about all seven coaching vacancies. I technically is a ranking system But it's all arbitrary. It doesn't really matter at the end of the day It's just excuse for me to put in the title because people like the name ranking when you hit when you see ranking You click this video because it said rank it. I already noticed what you did So I'll be ranking them all um and like out of these jobs. I mean, I'm hoping I'm expecting Three two to three, maybe four of these jobs to be first-time coaches, which will be magnificent Magnificent. I love it. There's fresh faces in the NBA. Do y'all remember when Brad Stevens came over from Butler? I remember after two seasons of Brad Stevens people are calling him the next grand pop of it There is a there's a tweet of a pole and they asked if I don't remember who made this tweet It's just on top of my head right now. They said would you rather have this all-star caliber player? Or Brad Stevens as a coach and majority of people said Brad Stevens as a coach That's how good of a like there's a youtube video from like four years ago That shows Brad Stevens silent out of bounds plays and all the NBA nerds watched that 20 times Me included You know, I was happy to see him come over obviously they didn't win a championship And even that last year in boston and feel like a brad Stevens offense But hey, he's got different jobs now You got that he's got to feel the role of a coach actually Um, and then you had like nick nurse took a team that was good They made a big trade for kawaii obviously, but he elevated them to win a championship Steve Kerr came in after mark jackson elevated them to a championship But then you got the other side of that like Nate um Nate Nate brokering was not in the league long enough for me to remember how to pronounce his name But he's a first-time coach Hey, we we left navy mill in the dust because he keeps getting us to the playoffs And we can't do anything once we get there and now they got nick brok had nick brokering He got canned immediately. They were basically throwing punches on the satellite So this pros and cons have a first-time coach But even like the Portland trailblazers are interviewing people who are going to be first-time coaches So i'm excited to see um what can potentially come of that. Let's talk about these Rankings one through seven and now that i'm thinking about this I think i want to do it on tiers Rather than rankings because people get so upset about whether you have them a five and six like one ranking Be having a common section going crazy. So i think i'm putting them in tiers of like, yes I'll take that job right now. That's tier number one tier number two is like, yeah, that's that's that's the deal I'll sat on for that and then see like I said, there's no bad team. No bad jobs here and tier number three is like I'll I'll take that interview and if tier number one and tier number two don't call my phone I'll pick up it for you. All right. Those are my three tiers. All right start off with the bottom tier Remember again the bottom tier ain't no real order. So the first team i'm putting on the bottom Tim is the Washington Wizards again, not a bad coaching job You have Bradley Beal. You have Russell Westbrook. That's two all-star caliber talent But I think with the current construction of this team I don't know what is something you can do to elevate the team to the point where you're more than like the six seed You know, and I think that um, Washington Wizards fans have been calling for Scott bricks to be gone And now that he's actually gone. It's like a hallelujah moment. Um, but I don't even think a brand new coach That's a that's really good. It's elevating this team to become a title contender And if I am a coach, remember, this is all my arbitrary thinking and the way I would do if I was a coach out there I want to go to a team that I feel like I'm I'm aware of what the future is looking like And I don't know what that is for the Washington Wizards because if the writing is on the wall that eventually they're Going to have to hit the reset button either trade Bradley Beal trade Russell Westbrook or whatever it may be They need to hit the youth movement to restart because Rihachi more than you got for Thomas Bryant These are these are younger guys that are cool These are younger guys that that I like a lot and I said and I said that you build around them But you have to do something Bradley Beal before he decides and for agency I'm just going to walk for nothing You have to figure out what's going on with Russell Westbrook. He had a great second half of the season But like he is a point guard who is aging He is less athletic than he was three years ago and he's making some of the best money in the league So I I wouldn't I would put this on tier number three just because I don't know What the roster or the direction of this team would be in just two seasons also on the third tier And maybe I'm bugging Because me and the homies talked about this a little bit I have the Portland trial blazes here as well. Then we're getting this is my own personal rankings But it is a similar thing with the Washington Wizards. I don't know You know the the one thing that's prevented me or that might make me put them into tier number two Is that I have a bona fide MVP caliber player in Damian Lillard, but my real question with that is for how long Like like Damian Lillard. It's like the him and Bradley Beal are super Super loyal players in the NBA some of the most loyal players in the NBA But eventually Dame has to look in the mirror and be like this ain't really working for me You know like Terry Stout has been a bad coach for a few years I think all Portland sure but as a fan is one of his head as well But I don't know if you just put a good coach in the situation and now they're a championship contender Right, I feel like a few years ago when he made us a conference finals. That was their ceiling even this year I was so high on their offseason. We bring in Robert Covent even though we gave him a couple picks Um that they needed perimeter defense their Jones. You could do that and they still were one of the worst defensive teams in the league Still a lot of that has to do with like the smaller backcourt And I know there's there's rumors between the CJ and Ben Simmons trade I read four articles this morning about Ben Simmons and potential traits and every single one of them had Ben Simmons for CJ it's like the like that might happen that might happen But even if you make that trade sure it can make it can make uh Damian Lillard Or maybe a little bit more happy because he's got more perimeter defense or more defense in general But even after that you're still just a good team your playoff team every year and something There's value in that but eventually Damian Lillard might look in that mirror and say I want a championship and the front office hasn't been able to do that They haven't been able to do that So I might request a trade and if they request the trade and I'm the head coach of the team at the time I'm going with Damian Lillard, you know, then dock rivers get traded a few years ago I'm trying to get traded like dock rivers did because I'm following Damian Lillard because if Damian's not in the team We make a trade we might retool and still be an okay team Or we might hit the full rebuild and I'm not here for that right now I signed on to be the coach of a team trying to make the playoffs every year I don't know if I can change my psyche. I couldn't be the browns of the league. I couldn't be um David black David black at a job at the Cavaliers to be a a guy that's going to develop kairi Wigs and the other players and then LeBron came and uh, oh, we don't need development because LeBron is as developed as anybody ever You know, I couldn't be that guy I would sign up to try to you know, keep the vision alive and and and that's one of those places where I'm like, ah Next team is the Indiana Pacers. See same tier same third tier But I do like I'm I'm really battling here because I do believe that the Indiana Pacers job can be fun It could be fun. Think about the players you have you have Malcolm Brogdon You have sabonis. You have my turner. You have um, kairi sliver. You have tj warren. You have tj mcconnell. You have Um, duggin mcbuckets. I think some of those players are free agents But anyway, you have a really solid seven, but still you didn't make the playoffs You know, that's that's that's terrible. And that is of course, um, Nate Broncker came in a team that has historically been a playoff team Immediately becomes not a playoff team They dealt with a lot of injuries a lot of this and that mouse turn them into the season tj warren was out There's a lot of things going on this team, but the reason why This might my system to the two tier because they have so many pieces that like the front office needs to start making trades Right mouse turner sabonis split it. I don't know who you keep who you trade away split it And that might be out I think I'd more enjoy being a front office job on a team more than a coaching job Because if I sign this coaching job thinking that I'm gonna have sabonis to build my team around And then a month into the season we trace the bonus away. I'm gonna be blue But as a GM job Beautiful, I would love to be the GM of the state Because sabonis, Malcolm Brogdon, Karis Laverg, Myles Turner, tj warren, these are all Valuable pieces around the league that they can get a good return that can make a more fluid team But I because I'm putting them in a in a seat here But if I am a general manager looking for this job, hey, they might be towards the top Now we're going to tier number two, which is yeah, I don't take this job If the tier number one people don't call, um, this is your lendo magic I know people like whoa, kitty, they're a little magic or hi I don't really think so because this is one of the teams where I know the direction of the team Hey, we're rebuilding team as long as I know that and my front office tells me we we got your back, bro We got your back We're not gonna fire you after two seasons if we aren't successful because we're not supposed to be successful This is what's weird about the NBA by the way. The Bulls made a trade for nick voosevich We gave up a pig. We have a two pigs at voosevich window card We gave a lot to give voosevich and immediately Some people in or lendo magic twitter start coming at me. It's like we're enemies. We're not enemies It's my guy. We're both just rooting for our individuals. We're just rooting for our individual teams Like I made a poll the other day after the Rick Carlisle thing came out And I was like, which one of these because you only can put four four teams on a poll which one of these four teams do you not want and The or lendo magic they make my four and somebody said or lendo. I was like And then your lendo magic twitter came at my head I was not saying your lendo magic job is bad because obviously you're gonna have a top five pick You're gonna have the eighth pick two with the chicago bulls You're looking like you're in a good spot as long as you're hired to be a coach to help the rebuild to to help the development Now I may not be that coach. Like I said, I want to win like I hate losing But I understand that this is not a bad job You know, you have Jonathan Isaac coming back and hopefully he's 90% of what he was uh defensively marquel folks I'm not out on marquel just yet. I've never been out on window carter You know, like mo bomba. I can't have mo bomba jersey Like there are a lot of pieces on this thing that I really like and then of course you're gonna have a top pick So I would be excited about this job as long as I my general manager when he hired me He's like, hey, we giving you three years at the minimum So I can help with development of this team because of that w I know what the direction of the team is Also on tier number two is he knew all his pelicans Um, I like what the pelicans have, you know, I like zion. I think zion could be I said this on my podcast zion has generational potential But he needs a coach To to get that out of him. This is about to be his third NBA season. He's going into his third coach already That's not a good sign Especially when some of the people in his camp are already saying they want to see him other places Stability stability stability can be the determinant factor in a player being an all-time great And just being a guy that makes a few all-star games but never elevates the organization, right? And the New Orleans pelicans need stability more than ever One of the reasons why anthony davis decided he wanted to go is because they lack stability And it wasn't necessarily in the coaching spot But the pieces around him need to be better And so so they have to figure out the rest of this rod this off season is This off season is the biggest off season and pelicans friend ties history History players are younger than ever and deciding. Hey, I don't want to be here And if they bring in another coach that doesn't jail well with zion who is stopping him from saying I want out It would be somewhat unheard of for a young player of his caliber to do that But we've seen crazier things happen. So you need to bring in a coach that understands what works with the team Bring in a player coach Because Stan vignetti wasn't that Stan vignetti was supposed to be this x's and o's defensive guru And they were like the worst defensive team almost of all time Bringing a guy that can jail well and understand how to maximize zion But also put the team around zion So as me as a coach can elevate zion Don't put zion on the court with two people that can't shoot. I'm sorry steven. I'm sorry eric y'all can't shoot Am I star player don't attempt threes So give him shooters like how how hard of an idea is that? You know, so this is one of the because you can't zion is looking at what tray young is doing as the one of the youngest Stars in the league when luka has done in the first couple years of his plafker I know they didn't make it out of the first round But they were still in the playoffs and he was winning games Looking at these younger players devin booker in the conference finals and being like, I know i'm 21 But why can't I do that? I'm already averaging 25 already have another guy on my roster that's averaging 25 So why can't we be the team making the playoffs getting to the second round potentially being in the conference finals The younger guys are taking over the league and zion should be in that conversation as well And one of the ways you do that is getting the right coach. So I I'd answer that call I think I think I can help I can help zion Run to the basket dunk the ball play point guard for us play play more ballhandler than what stan van did Stan van started to do it a little bit later in the season, but about that time It was too late And now we get to tier number one our first team in the tier number one is the dallas mavericks Luca is a generation of talent. It seems like and I would like to coach luka. How how crazy is that? Um, but I mean the the front office does have a lot to do figure out person is figure out tomorrow We dream figure out how to build around luka But like having luka as your backbone as a coach It's automatically getting you a couple years in the league at least that's what it feels like Because he's good enough to carry you to the playoffs to make your resume look solid Oh, I came into a team and I continued them on their playoff run two years in a row They made the three years in a row now because I'm the head coach. They made the playoffs luka's that good luka's that good, um, so I would I would pick them I don't know what else really just I would like to be in that front office job for them Yeah, because they got some big decisions to make with chris taps But again as the coach you don't really make the decision you just coach the players in front of you I like the organizations where the coach does have a say I like the great popovitches and the was rc beautiful type teams Where the head coach does get some type of say but also not all to say Because we've seen that work terribly as well and that was stan van gunny with detroit Then detroit have stan van gunny as the guy making the decisions and the guy coaching And that's how you leave to like john lure signing a big deal or some of those other players actually a tear on his own Give me the boss themselves his job right now the best job available We have an emergent superstar jason tayton. We have an emerging all star in jail and brown That's all I really need That's all we need Legitimately and it looks like the front office brats. He was already dedicated to making a better or the roster better a better fit We got another big after we didn't really have a big even though al whore for we'll see what he can produce Um, I think this this job is more about the I think it's more about the front office more than the coaching But I would love to have that job I mean like There's so many players on this team that I think will be fun to coach or Or could be flipped for players that are fun to coach You know like you cannot beat having two star players as a coach Like all these other teams all these are like the dallas mavericks. I'm looking at the list of teams, by the way The dallas mavericks have luka. Obviously generational. I already set that but that's only one star The polo charlotte's have one star the pelicans have one and a half stars Brandy in terms of star caliber player, but you get what I'm saying Um, they don't magic have no stars the pacers have a star the wizards have a star and a half I'm just saying a half for russia wesberg. I know that's gonna make some people mad, but whatever There's nothing better than having two star players And I would take that As a head coach. That's it. I know that the top two teams. I didn't really give super in depth But you should understand why those are the top two teams in my personal opinion Um, but that's it if you enjoyed the video leave it a like I guess let me know your personal ranking that I have somebody too low too high It's it doesn't really matter. It's just an excuse for me to talk about seven teams that aren't in the playoffs anymore. I see y'all Probably sue. I don't know whatever