The correct answer is A) Malkhed.
The Rashtrakutas were a dynasty that ruled over parts of India from the 7th to the 10th centuries. They were founded by Dantidurga in 735 CE, and their capital was initially at Manyakheta (modern Malkhed). The Rashtrakutas overthrew the Chalukyas of Badami in 753 CE, and they went on to rule over a large empire that included much of the Deccan Plateau. The Rashtrakutas were patrons of the arts and literature, and they built many temples and other monuments. They were eventually overthrown by the Cholas in the 10th century.
Banavasi was the capital of the Kadamba dynasty, which ruled over parts of Karnataka from the 5th to the 8th centuries. Hampi was the capital of the Vijayanagara Empire, which ruled over parts of India from the 14th to the 16th centuries. Badami was the capital of the Chalukya dynasty, which ruled over parts of India from the 6th to the 8th centuries.