The Kulasekhara dynasty, which ruled Kerala around 9th century CE, had their capital at:

Kollam
Kannur
Mahodayapuram
Kottayam Answer: c

The correct answer is c) Mahodayapuram.

The Kulasekhara dynasty was a royal dynasty that ruled the Indian state of Kerala from the 9th to the 13th centuries. The dynasty was founded by Kulasekhara Varman I, who ascended to the throne in 820 CE. The capital of the Kulasekhara dynasty was at Mahodayapuram, which is located in the present-day district of Thrissur.

Mahodayapuram was a major center of trade and culture during the Kulasekhara period. The city was home to many temples, palaces, and other important buildings. The Kulasekhara dynasty was a powerful and influential dynasty that played a major role in the history of Kerala.

The other options are incorrect. Kollam was the capital of the Chera dynasty, Kannur was the capital of the Kolathiri dynasty, and Kottayam was the capital of the Venad dynasty.