To answer this question, you need to have knowledge of Hyderabadi cuisine.
Option A) Biryani - This option is correct. Biryani is the most distinctive and popular dish of Hyderabadi cuisine. It is a flavorful rice dish cooked with aromatic spices, meat (such as chicken or mutton), and sometimes with vegetables.
Option B) Kebab - This option is incorrect. While kebabs are also popular in Hyderabadi cuisine, they are not the most distinctive and popular dish.
Option C) Fish Curry - This option is incorrect. Fish curry is not the most distinctive and popular dish of Hyderabadi cuisine.
Option D) Brinjal curry - This option is incorrect. While brinjal curry is also a popular dish in Hyderabadi cuisine, it is not the most distinctive and popular dish.
The correct answer is A) Biryani. Biryani is the most distinctive and popular dish of Hyderabadi cuisine due to its rich flavors and unique cooking style.