The correct answer is (a).
The French East India Company was founded in 1664 by Jean-Baptiste Colbert, the chief minister of King Louis XIV. The company was granted a monopoly on trade with India and other parts of Asia. It was one of the most successful trading companies in history, and it played a major role in the development of the French colonial empire.
Louis XIII was the king of France from 1610 to 1643. He was a weak and indecisive ruler, and his reign was marked by political instability. The French East India Company was not founded during his reign.
Louis XV was the king of France from 1715 to 1774. He was a frivolous and extravagant ruler, and his reign was marked by economic decline and political unrest. The French East India Company was not founded during his reign.
Louis XVI was the king of France from 1774 to 1792. He was a weak and indecisive ruler, and his reign was marked by the French Revolution. The French East India Company was not founded during his reign.