Explanations:The Delhi Sultanate was a period of significant architectural development in India, particularly in the city of Delhi. The Quwwat-al Islam mosque and the Qutub Minar are two of the most notable structures from this era. The construction of these structures began under Qutbuddin Aybak, the first Sultan of Delhi, who founded the Mamluk dynasty in 1206. However, Qutbuddin Aybak did not live long enough to complete these projects.
Qutbuddin Aybak's successor, Iltutmish, continued and completed the construction of the Quwwat-al Islam mosque and the Qutub Minar. Iltutmish was a significant ruler during the Delhi Sultanate and made substantial contributions to architecture and administration. He is known for his patronage of the arts and his efforts to consolidate the Mamluk dynasty's rule over the region.
The Quwwat-al Islam mosque, which means "Might of Islam," was built on the site of a Jain temple complex. It was the first mosque to be built in Delhi and served as a model for subsequent mosque architecture in the region. The Qutub Minar, a tall tower, was built as a victory monument and a minaret for the call to prayer. It is one of the tallest brick minarets in the world and is a UNESCO World Heritage Site.
Understanding the historical context and the timeline of the Delhi Sultanate is crucial for correctly identifying the ruler who completed these structures. Qutbuddin Aybak initiated the construction, but it was Iltutmish who completed them, making him the correct answer to this question.