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 century, but their legacy continues to this day.
The other options are incorrect because:
- Rajahmundry is a town in East Godavari district of Andhra Pradesh. It was not the capital of the Eastern Chalukyas.
- Amaravati is a town in Guntur district of Andhra Pradesh. It was an important center of Buddhism during the Satavahana period. It was not the capital of the Eastern Chalukyas.
- Warangal is a city in Telangana. It was the capital of the Kakatiya dynasty. It was not the capital of the Eastern Chalukyas.