The famous shore temples at Mamallapuram were built under the patronage of Pallava king:

Mahendravarman I
Narasimhavarman I
Paramesvaravarman I
Nandivarman II

The correct answer is: b) Narasimhavarman I.

Narasimhavarman I, also known as Narasimhavarman Mahamalla, was a Pallava king who ruled from 630 to 668 CE. He was the son of Mahendravarman I and the grandson of Simhavishnu. Narasimhavarman I was a great warrior and a patron of the arts. He is best known for building the famous shore temples at Mamallapuram.

The shore temples at Mamallapuram are a group of seven Hindu temples located on the Bay of Bengal in the Indian state of Tamil Nadu. The temples were built during the reign of Narasimhavarman I and are considered to be some of the finest examples of Pallava architecture. The temples are carved out of rock and are decorated with intricate sculptures.

The shore temples are a UNESCO World Heritage Site and are one of the most popular tourist destinations in India.

The other options are incorrect because:

  • Mahendravarman I was the father of Narasimhavarman I and ruled from 600 to 630 CE.
  • Paramesvaravarman I was the son of Narasimhavarman I and ruled from 668 to 695 CE.
  • Nandivarman II was the grandson of Narasimhavarman I and ruled from 731 to 795 CE.