The correct answer is: A. Alauddin Khalji
Alauddin Khalji was the first Indian ruler to organize Haj pilgrimage at the expense of the state. He did this in order to promote religious harmony and to show his support for the Muslim community. He also wanted to improve relations with the Muslim world.
Feroz Tughlaq also organized Haj pilgrimage, but he did not do it at the expense of the state. He required pilgrims to pay for their own travel and expenses.
Akbar did not organize Haj pilgrimage. He was a tolerant ruler who allowed Muslims to practice their religion freely, but he did not support the Haj pilgrimage financially.
Aurangzeb did not organize Haj pilgrimage either. He was a conservative ruler who tried to impose Islamic law on his subjects. He did not support the Haj pilgrimage because he believed that it was a waste of money.
In conclusion, Alauddin Khalji was the first Indian ruler to organize Haj pilgrimage at the expense of the state. He did this in order to promote religious harmony and to show his support for the Muslim community. He also wanted to improve relations with the Muslim world.