Correct Option (B)
Statement 2 is correct. The Rangeet River is a significant tributary of the Teesta River. It originates in the Himalayas within Sikkim and converges with the Teesta River near the border of Sikkim and West Bengal. This confluence point is critical to the regional riverine system.
Incorrect Options:
Statement 1 is incorrect. The Teesta River originates from the Pahunri (or Teesta Kangse) glacier in the eastern Himalayas, specifically within Sikkim. In contrast, the Brahmaputra River originates from the Angsi Glacier in the Himalayas of Tibet. Their sources are distinct, though both rivers flow through the Himalayan region.
Statement 3 is incorrect. The Teesta River does not flow directly into the Bay of Bengal. After traversing through Sikkim and West Bengal, it enters Bangladesh. In Bangladesh, the Teesta River eventually merges with the Brahmaputra River (known as Jamuna in Bangladesh) before the combined waters flow into the Bay of Bengal. Therefore, the Teesta's confluence is with the Brahmaputra, not directly with the Bay of Bengal.