The Vijayanagara Empire was a powerful South Indian empire that had a significant influence on Andhra Pradesh. Its capital was located at:

Hampi (present-day Karnataka)
Warangal
Madurai
Kanchipuram

The correct answer is: a) Hampi (present-day Karnataka).

Hampi was the capital of the Vijayanagara Empire, a powerful South Indian empire that had a significant influence on Andhra Pradesh. The empire was founded in 1336 by Harihara I and Bukka Raya I, two brothers who were members of the Sangama dynasty. The empire reached its peak under the rule of Krishnadevaraya (1509-1529), who is considered to be one of the greatest rulers in Indian history.

Hampi was a thriving city with a population of over 500,000 people. It was a major center of trade and commerce, and it was also home to many temples, palaces, and other monuments. The city was abandoned in the 16th century after it was sacked by the Mughal Empire.

Today, Hampi is a UNESCO World Heritage Site. It is one of the most popular tourist destinations in India, and it is known for its stunning ruins.

The other options are incorrect because:

  • Warangal was the capital of the Kakatiya dynasty, which was a rival of the Vijayanagara Empire.
  • Madurai was the capital of the Pandya dynasty, which was another rival of the Vijayanagara Empire.
  • Kanchipuram was a major center of Hindu pilgrimage, but it was not the capital of any empire.