The correct answer is: c) Kaveri (Cauvery) River.
The Mettur Dam is a major dam on the Kaveri River in Tamil Nadu, India. It was built in 1930 and is the largest dam in the state. The dam is used for irrigation, drinking water supply, and hydroelectric power generation.
The Palar River is a river in Tamil Nadu and Andhra Pradesh, India. It is a tributary of the Pennar River. The river is about 300 kilometers long.
The Thamirabarani River is a river in Tamil Nadu, India. It is a tributary of the Kaveri River. The river is about 500 kilometers long.
The Vaigai River is a river in Tamil Nadu, India. It is a tributary of the Cauvery River. The river is about 250 kilometers long.