Explanation: To understand the context of this question, it is essential to delve into the history of the Delhi Sultanate, particularly focusing on the Mamluk dynasty. The Delhi Sultanate was a powerful Islamic empire that ruled large parts of the Indian subcontinent from the early 13th to the mid-16th century. The Mamluk dynasty, also known as the Slave dynasty, was the first of the five dynasties that ruled the Delhi Sultanate.
Illtumish, whose full name was Shams-ud-din Iltutmish, was a significant figure in the Mamluk dynasty. He was originally a slave of Qutb-ud-din Aibak, the founder of the Mamluk dynasty, and later became the Sultan of Delhi after a series of political upheavals. Illtumish is known for his administrative reforms, military campaigns, and the construction of important architectural landmarks such as the Qutb Minar.
One of Illtumish's most notable contributions was his decision to appoint his daughter, Raziyya Sultan, as his successor. This decision was unprecedented in the context of medieval India, where female rulers were rare. Raziyya Sultan, also known as Razia Sultana, was the first and only female ruler of the Delhi Sultanate. She ascended the throne in 1236 and ruled for about four years.
Raziyya Sultan's reign was marked by her efforts to maintain the stability of the Delhi Sultanate and her attempts to reform the administration. She was known for her intelligence, administrative skills, and her efforts to promote meritocracy. However, her rule was also marked by political instability and opposition from conservative elements within the Sultanate. She faced several rebellions and was eventually deposed and killed in 1240.
The other options in the question are incorrect because they refer to other historical figures who were not related to Illtumish. Alauddin Khilji and Jalaudin Khilji were rulers of the Khilji dynasty, which came after the Mamluk dynasty. Rani Jhasi, on the other hand, was a historical figure associated with the Rajput resistance against the Mughals and was not related to Illtumish.
In conclusion, the correct answer is Raziyya Sultan, who was indeed the daughter of Illtumish and the first and only female ruler of the Delhi Sultanate. Understanding the historical context and the genealogical relationships within the Delhi Sultanate is crucial for correctly identifying the answer to this question.