Answer: (c)

Explanation:
The Sutlej River best fits all the given features.

It is an antecedent river, meaning it existed before the uplift of the Himalayas and maintained its course by cutting through them.

It originates in the Tibetan Plateau, flows through China (Tibet), India, and Pakistan, and is a crucial river system for irrigation through the Indus basin canal network.

Importantly, unlike the Brahmaputra or other major Himalayan rivers, the Sutlej is part of a system that ultimately merges into the Indus and does not independently form a large distributary network like delta-forming rivers.

Distributaries of Indus River: Before reaching the Arabian Sea in Pakistan, the Indus River divides into a network of 17 active and abandoned Indus River Delta distributaries. The most prominent active distributary is the Hajamro, alongside the Ghorabari, Piti, Mouthani, Juna, and Khaur.

Hence, the correct answer is (c) Sutlej.