Explanation:

- Option 1: Lagaan

- A critically acclaimed movie with a strong musical score by A.R. Rahman. It was nominated for an Academy Award but did not win a Grammy.

- Option 2: Dil Se

- Known for its popular soundtrack, including "Chaiyya Chaiyya." However, it did not win a Grammy.

- Option 3: Slumdog Millionaire

- The correct answer.

- A.R. Rahman won two Grammy Awards for this film: Best Compilation Soundtrack for Visual Media and Best Song Written for Visual Media for "Jai Ho."

- Its music played a pivotal role in the film's success.

- Option 4: Roja

- This film was a breakthrough for Rahman with memorable compositions.

- It is not associated with a Grammy win.

- Your selection, Option 3: Slumdog Millionaire, is indeed the right choice.