The correct answer is: A) Satavahanas
The Satavahanas were a dynasty that ruled over the Deccan region of India from the 2nd century BCE to the 3rd century CE. They were patrons of Buddhism and built many Buddhist sites, including the ones at Nelakondapalli and Dhulikatta.
The Kakatiyas were a dynasty that ruled over the Deccan region of India from the 11th century to the 14th century. They were patrons of Hinduism and built many Hindu temples, but they did not build any Buddhist sites.
The Ikshvakus were a dynasty that ruled over the Deccan region of India from the 3rd century BCE to the 2nd century CE. They were patrons of Buddhism and built many Buddhist sites, but they did not build any Buddhist sites at Nelakondapalli and Dhulikatta.
The Chalukyas were a dynasty that ruled over the Deccan region of India from the 6th century to the 12th century. They were patrons of Hinduism and built many Hindu temples, but they did not build any Buddhist sites.
Nelakondapalli and Dhulikatta are two Buddhist sites located in the Karimnagar district of Telangana, India. They are both dated to the Satavahana period. Nelakondapalli is a large monastery complex, while Dhulikatta is a smaller stupa complex. Both sites are important for the study of Buddhist art and architecture.