The correct answer is: D. Qutb-ud-din Aibak
Qutb-ud-din Aibak was a Muslim ruler who founded the Mamluk dynasty in Delhi. He was a slave of Muhammad Ghori, the ruler of the Ghaznavid Empire. In 1191, Qutb-ud-din Aibak led the Muslim army to victory against Prithviraj Chauhan, the Rajput ruler of Ajmer and Delhi, in the First Battle of Taraori. This victory marked the beginning of Muslim rule in India.
Balban was a Muslim ruler who ruled the Delhi Sultanate from 1266 to 1287. He was a successful military commander who expanded the Sultanate’s territory. However, he was not involved in the First Battle of Taraori.
Hemchandra was a Hindu scholar and writer who lived in the 12th century. He is best known for his work on grammar and rhetoric. He was not involved in the First Battle of Taraori.
Prithviraj Chauhan was a Rajput ruler who ruled the kingdom of Ajmer and Delhi from 1178 to 1192. He was a brave and skilled warrior who fought against the Muslim invaders. However, he was defeated by Qutb-ud-din Aibak in the First Battle of Taraori.