The group of monuments at Mahabalipuram, known for its rock-cut temples and sculptures, is located in the Indian state of Tamil Nadu.

Introduction:
Mahabalipuram, also known as Mamallapuram, is a UNESCO World Heritage Site and is located on the Coromandel Coast of the Bay of Bengal in Tamil Nadu, India. It is known for its group of monuments that showcase the rich architectural and sculptural heritage of ancient India.

Rock-cut Temples and Sculptures:
The monuments at Mahabalipuram are famous for their rock-cut temples and sculptures, which were created during the Pallava dynasty in the 7th and 8th centuries. These monuments exhibit exquisite craftsmanship and depict various themes from Hindu mythology.

Arjuna's Penance:
One of the most famous sculptures at Mahabalipuram is the "Arjuna's Penance" or "Descent of the Ganges." Carved on a massive rock face, this sculpture measures about 27 meters in length and 9 meters in height. It depicts various figures from Hindu mythology and is believed to represent the penance of Arjuna, a hero from the epic Mahabharata.

Shore Temple:
Another prominent monument at Mahabalipuram is the Shore Temple, which is a structural temple built with granite stones. It is located on the shores of the Bay of Bengal and is dedicated to Lord Shiva. The temple complex consists of two main shrines and several smaller ones. The intricate carvings on the walls and the pyramidal structure of the temple make it a remarkable architectural marvel.

Pancha Rathas:
The Pancha Rathas, also known as the Five Rathas, are a set of monolithic rock-cut temples at Mahabalipuram. Each ratha (chariot) is carved out of a single rock and is dedicated to a different deity. The five rathas are named after the Pandava brothers from the Mahabharata - Dharmaraja, Bhima, Arjuna, Nakula, and Sahadeva. These rathas exhibit different architectural styles, showcasing the versatility of the Pallava architecture.

Conclusion:
The group of monuments at Mahabalipuram, with its rock-cut temples and sculptures, is located in the Indian state of Tamil Nadu. These monuments are not only a testament to the architectural and sculptural prowess of the Pallava dynasty but also a significant cultural and historical heritage of India.