The correct answer is (a) Akbar.
Akbar was the Mughal emperor who ruled over India from 1556 to 1605. He was the third Mughal emperor, after his father Humayun and grandfather Babur. Akbar was a great military leader and statesman, and he expanded the Mughal Empire to its greatest extent. He was also a patron of the arts and sciences, and he built many beautiful buildings and monuments.
The British East India Company was formed in London in 1600. It was a trading company that was granted a monopoly on trade with India by the British Crown. The company played a major role in the colonization of India, and it eventually became the dominant power in the country.
The other options are incorrect because they were not the emperors of India when the British East India Company was formed. Jahangir was the emperor of India from 1605 to 1627. Shah Jahan was the emperor of India from 1628 to 1658. Aurangzeb was the emperor of India from 1658 to 1707.