The correct answer is option 2: Badruddin Tyabji. To understand this, let`s analyze each option:

1. Muhammed Ali Jinnah: Muhammed Ali Jinnah was a prominent political leader in the Indian independence movement. However, he was not the first Muslim President of the Indian National Congress.

2. Badruddin Tyabji: Badruddin Tyabji was indeed the first Muslim President of the Indian National Congress. He served as the President in 1887 during the Madras session.

3. Sir Syed Ahmed Khan: Sir Syed Ahmed Khan was a renowned educationist and social reformer. Although he made significant contributions to the educational upliftment of the Muslim community, he did not serve as the President of the Indian National Congress.

4. Abul Kalam Azad: Abul Kalam Azad, also known as Maulana Azad, was a prominent freedom fighter and an influential leader in the Indian National Congress. However, he did not hold the position of the first Muslim President of the party.

In summary, option 2, Badruddin Tyabji, is the correct answer as he was the first Muslim President of the Indian National Congress.