Explanation:

- Option 1: A.R. Rahman:

- A.R. Rahman is a renowned Indian composer.

- He won the Academy Award for Best Original Score for the film "Slumdog Millionaire" in 2009.

- ?? Correct Answer: A.R. Rahman

- Option 2: Bhanu Athaiya:

- Bhanu Athaiya was an Indian costume designer.

- She was the first Indian to win an Oscar, but for Best Costume Design, not music, for the film "Gandhi" in 1983.

- Option 3: Mehboob Khan:

- Mehboob Khan was an acclaimed Indian film director.

- He directed the film "Mother India," which was nominated for an Oscar but did not win.

- Option 4: Resul Pookutty:

- Resul Pookutty is an Indian sound designer.

- He won an Oscar for Best Sound Mixing for "Slumdog Millionaire," not for music.