The correct answer is D. Kakatiyas.
The Kakatiya dynasty was a Telugu dynasty that ruled the Deccan region of India from the 11th to the 14th centuries. The dynasty was founded by Prola I in 1076 CE, and its capital was at Warangal. The Kakatiyas were a powerful and influential dynasty, and they played a major role in the development of the Deccan region. They were patrons of art, architecture, and literature, and they built many temples and other monuments. The Kakatiya dynasty came to an end in 1323 CE, when it was conquered by the Delhi Sultanate.
The other options are incorrect. The Rashtrakutas were a Kannada dynasty that ruled the Deccan region from the 8th to the 10th centuries. The Chalukyas of Badami were a Kannada dynasty that ruled the Deccan region from the 6th to the 8th centuries. The Pallavas were a Tamil dynasty that ruled the southern Deccan region from the 3rd to the 9th centuries.