Domingo Paes, a medieval traveler, has described the city of Vijayanagara. This description provides insights into the social, political, and cultural aspects of the city during that time.

Option 1: Madurai

There is no mention of Domingo Paes describing Madurai in his accounts. Therefore, this option can be eliminated.

Option 2: Vijayanagara

The correct answer is option 2. Domingo Paes indeed described the city of Vijayanagara in his travels. His description is valuable in understanding the city`s architecture, markets, temples, and the Vijayanagara Empire`s power and prosperity.

Option 3: Arikamedu

There is no evidence to suggest that Domingo Paes described Arikamedu in his accounts. It was a port city in ancient India known for its trade, but not linked to Domingo Paes.

Option 4: Gingee

There is no mention of Domingo Paes describing Gingee in his accounts. Therefore, this option can be ruled out.

In conclusion, the correct answer is option 2, Vijayanagara, as Domingo Paes describes this city in his travel accounts.