The correct answer is A) Hampi.
Hampi was the capital of the Vijayanagara Empire from 1336 to 1565. It is located in the eastern Deccan Plateau in the modern-day state of Karnataka, India. Hampi is a UNESCO World Heritage Site and is known for its well-preserved ruins of Hindu and Muslim temples, palaces, and other buildings.
Badami, Aihole, and Mysore are all located in the state of Karnataka, but they were not the capital of the Vijayanagara Empire. Badami was the capital of the Chalukya dynasty from the 6th to the 8th centuries. Aihole was a major center of Chalukya art and architecture. Mysore was the capital of the Mysore Kingdom from the 16th to the 19th centuries.
Hampi is a must-see for anyone interested in Indian history and culture. It is a truly remarkable place that offers a glimpse into the past.