The correct answer is: B) 12th century CE.
The rock-cut temples in Vizhinjam are a group of Hindu temples located in Vizhinjam, a coastal town in Thiruvananthapuram district, Kerala, India. The temples are believed to have been built in the 12th century CE, during the reign of the Chola dynasty. The temples are carved out of a single rock face and are dedicated to the Hindu deities Shiva, Vishnu, and Durga. The temples are an important example of early Chola architecture and are a popular tourist destination.
Option A: The 8th century CE is too early. The Chola dynasty did not come to power until the 9th century CE.
Option C: The 15th century CE is too late. The Chola dynasty declined in the 13th century CE and ceased to exist in the 14th century CE.
Option D: The 18th century CE is incorrect. The rock-cut temples in Vizhinjam were built in the 12th century CE, not the 18th century CE.