Explanation:

- Hirakud Dam is a significant structure located in the state of Odisha, India.

- It is built across the Mahanadi River.

- The Mahanadi River is one of the major rivers in central-east India, flowing through Chhattisgarh and Odisha before emptying into the Bay of Bengal.

- Option 1: Betwa is incorrect. The Betwa River is a tributary of the Yamuna and flows through Madhya Pradesh and Uttar Pradesh.

- Option 3: Krishna is incorrect. The Krishna River runs through the states of Maharashtra, Karnataka, Telangana, and Andhra Pradesh.

- Option 4: Godavari is incorrect. The Godavari River is India's second-longest river, flowing through Maharashtra, Telangana, Andhra Pradesh, and several other states.