Name the city that was founded by Krishnadeva Raya after the name of his mother.

Nagalapuram 

The correct answer is Option (2) → Nagalapuram 

Nagalapuram is a town located in the Chittoor district of Andhra Pradesh, India. It was founded by the famous Vijayanagara Emperor Krishnadevaraya, and he named it after his mother Nagala Devi. Krishnadevaraya was a significant ruler of the Vijayanagara Empire, and he established this town in honor of his mother. Nagalapuram is known for its historical and cultural significance and is one of the places associated with the Vijayanagara period in South India.

So, the correct option is [2].