Correct Answer: Rahul asked me if we were going to New York next year.

Solution : The first option is correct.

Reported speech, or indirect speech, is the form of speech used to convey what was said by someone at some point in time.

The steps of conversion are as follows:

• There would be no change in the reporting verb.
• The present continuous tense "are going" is changed to the past continuous tense "were going".
• The conjunction "if" is used to maintain the interrogative nature of the sentence.
• There would be no change in the pronoun, as there is no change in the person.

Therefore, the correct answer will be: " Rahul asked me if we were going to New York next year."