The correct answer is option 1: Dhaleswari.

A tributary is a smaller river or stream that flows into a larger river. In this case, we are looking for a tributary of the Barak River in Manipur, India. Manipur is located in the northeastern part of the country and is known for its many rivers.

Option 1, Dhaleswari, is the correct answer. The Dhaleswari River is indeed a tributary of the Barak River in Manipur. It flows through the state and joins the Barak River at a certain point.

Options 2, 3, and 4 are not correct answers. The Subansiri River is actually a tributary of the Brahmaputra River, not the Barak River. Similarly, the Dhansiri River is a tributary of the Brahmaputra River, and the Manas River is a tributary of the Brahmaputra as well.

In conclusion, the correct answer is option 1: Dhaleswari. It is a tributary of the Barak River in Manipur.