Answer: The Mughal Emperor Shah Jahan (Prince Khurram) built the Taj Mahal but did not kill his brothers. Therefore, option A is the correct answer.
Why are these options incorrect?
Option B is incorrect because Shah Jahan did not invade India from Nepal. He was born in India and ruled as the Mughal Emperor in India.
Option C is incorrect because Mordor is a fictional place in J.R.R. Tolkien's The Lord of the Rings and has no connection to Shah Jahan or the Mughal Empire.
Option D is incorrect because Shah Jahan did not kill his brothers. He was involved in a power struggle with his brothers for the throne after the death of their father, Emperor Jahangir. Ultimately, Shah Jahan emerged as the winner and became the fifth Mughal Emperor of India.
Therefore, the correct answer is A.