Statement 1 is incorrect: Ajanta and Mahabalipuram were not built in the same period.
- Ajanta is known for its rock-cut cave monuments, which were constructed from the 2nd century BCE to the 6th century CE, primarily during the Gupta and Vakataka dynasties.
- On the other hand, Mahabalipuram's rock-cut monuments and structures were built primarily during the 7th and 8th centuries CE, under the Pallava dynasty.
Statement 2 is incorrect:
- Ajanta is associated with Buddhism, as the cave monuments were used as monasteries and temples by Buddhist monks.
- Mahabalipuram, on the other hand, is associated with Hinduism, as the rock-cut monuments and temples are dedicated to Hindu deities and themes.
Statement 3 is correct: Both Ajanta and Mahabalipuram are known for their remarkable rock-cut monuments and structures. The Ajanta Caves are a series of rock-cut cave temples and monasteries, while Mahabalipuram is renowned for its rock-cut temples, Rathas (chariot-shaped temples), and other monumental structures carved directly out of rock.
Therefore, the only common feature between Ajanta and Mahabalipuram is that both have rock-cut monuments, as stated in statement 3.