Correct Option
Statement 1 is correct. Barren Island, located in the Andaman Sea, is India's only confirmed active volcano. It is part of the Indian Union Territory of Andaman and Nicobar Islands.
Incorrect Options
Statement 2 is incorrect. Barren Island is situated approximately 135-140 km northeast of Port Blair, which is in South Andaman. It lies east of the main Andaman island chain, not Great Nicobar. Great Nicobar is located much further south in the Nicobar group of islands.
Statement 3 is incorrect. The Barren Island volcano has erupted multiple times since 1991. Notable eruptions occurred in 1994-95, 2005-06 (coinciding with the 2004 Sumatra-Andaman earthquake), and most recently in 2017, indicating its continued active status.