(*) Under British rule, leaders of this city were addressed as "His Royal Highness" and their domain was considered the most important princely state.
One explanation for the name of this city is that its founder named it after the title adopted by his favorite nautch girl upon her conversion to Islam. The most recent dynasty of rulers of this city never let any member leave their lands because they were "too precious" and they intermarried extensively with the Paigah family. This city's economy took a hit after a 1687 siege resulted in a drop in its diamond trade. (*) Under British rule, leaders of this city were addressed as "His Royal Highness" and their domain was considered the most important princely state. The last independent ruler of this city was ousted after Operation Polo and it will serve as the capital of two states until 2025. Once ruled by leaders called Nizams and defended from Golkonda Fort, for 10 points, identify this Indian city, the capital of both Andhra Pradesh and Telangana.
One explanation for the name of this city is that its founder named it after the title adopted by his favorite nautch girl upon her conversion to Islam.
Hyderabad (do not accept answers suggesting that it's the one in Pakistan)