The correct answer is the University of Madras. It was established in 1857, making it the oldest university in India. It is located in Chennai, the capital of the Indian state of Tamil Nadu. The university offers a wide range of undergraduate and postgraduate courses in a variety of disciplines. It is a public university and is funded by the government of India. The university has a large campus with a number of academic and administrative buildings. It also has a number of hostels, libraries, and sports facilities. The university is affiliated to a number of colleges and schools in Chennai and other parts of Tamil Nadu. The university has a long and rich history and has produced a number of notable alumni, including former Indian presidents R. Venkataraman and A. P. J. Abdul Kalam.
The other options are incorrect. Jawaharlal Nehru University is a public central university located in New Delhi. It was established in 1969. Banaras Hindu University is a public central university located in Varanasi, Uttar Pradesh. It was established in 1916. Aligarh Muslim University is a public central university located in Aligarh, Uttar Pradesh. It was established in 1875.