The Eastern Chalukyas, who ruled over parts of coastal Andhra Pradesh, established their capital at:

The correct answer is: a) Vengi.

The Eastern Chalukyas were a dynasty that ruled over parts of coastal Andhra Pradesh from the 6th to the 12th centuries. They established their capital at Vengi, which is now a town in East Godavari district of Andhra Pradesh.

Vengi was an important center of trade and commerce during the Eastern Chalukya period. It was also a major center of learning and culture. The Eastern Chalukyas built many temples and other monuments in Vengi. These monuments are now a major tourist attraction.

The Eastern Chalukyas were a powerful dynasty that ruled over a large part of southern India. They were known for their military prowess and their patronage of the arts. The Eastern Chalukya dynasty came to an end in the 12th