Akbar established Ibadat Khana at

Lahore
Delhi
Agra
Fatehpur Sikri

The correct answer is: D. Fatehpur Sikri.

Ibadat Khana was a hall of worship established by Mughal emperor Akbar in Fatehpur Sikri in 1571. It was a place where Akbar could meet with scholars and religious leaders of different faiths to discuss and debate religious matters. The Ibadat Khana was a significant development in Akbar’s religious policy, as it showed his willingness to consider different points of view and to learn from other religions.

Lahore was the capital of the Mughal Empire from 1526 to 1530, during the reign of Babur. It was also the capital of the Mughal Empire from 1556 to 1598, during the reign of Akbar. However, Akbar did not establish the Ibadat Khana in Lahore.

Delhi was the capital of the Mughal Empire from 1530 to 1556, during the reign of Humayun. It was also the capital of the Mughal Empire from 1598 to 1658, during the reign of Jahangir and Shah Jahan. However, Akbar did not establish the Ibadat Khana in Delhi.

Agra was the capital of the Mughal Empire from 1558 to 1571, during the reign of Akbar. However, Akbar did not establish the Ibadat Khana in Agra.

Fatehpur Sikri was a city built by Akbar in the 16th century. It was the capital of the Mughal Empire from 1571 to 1585. The Ibadat Khana was established in Fatehpur Sikri in 1571.