The correct answer is: a) Hyderabad.
Hyderabad is the capital of Telangana and the de facto capital of Andhra Pradesh. It is the sixth most populous city in India and the fourth most populous city in the Indian subcontinent. Hyderabad is a major center for education, healthcare, research, technology, tourism, and culture. It is also home to a large number of Urdu speakers.
Urdu is a Persianized form of Hindustani, which is a mix of Hindi and Urdu. It is the official language of Pakistan and is also spoken in India, Bangladesh, and Afghanistan. Urdu is written in the Nastaliq script, which is a cursive form of the Arabic script.
Urdu has a significant presence in Hyderabad, particularly in the old city area. The city is home to a number of Urdu schools, colleges, and universities. There are also a number of Urdu newspapers and magazines published in Hyderabad.
The other options are incorrect because they are not cities in Andhra Pradesh where Urdu has a significant presence. Visakhapatnam is a city in Andhra Pradesh, but it is not a major center for Urdu speakers. Vijayawada and Guntur are also cities in Andhra Pradesh, but they are not as large or as important as Hyderabad.