Fatehabad district derives its name from its headquarters town, which was established by ………… in 14th century, after his son Fateh Khan.

The correct answer is: C. Firuz Shah Tughlaq

Firuz Shah Tughlaq was the third ruler of the Tughlaq dynasty of the Delhi Sultanate. He was born in 1309 and ascended to the throne in 1351. He ruled for 37 years until his death in 1388.

Firuz Shah Tughlaq was a great builder and administrator. He built many roads, bridges, and canals. He also founded many new towns, including Fatehabad.

Fatehabad is a town in the Indian state of Haryana. It is the headquarters of Fatehabad district. The town was founded by Firuz Shah Tughlaq in the 14th century.

The other options are incorrect:

• Ghiyasuddin Tughlaq was the founder of the Tughlaq dynasty. He ruled from 1320 to 1325.
• Alauddin Khilji was the second ruler of the Tughlaq dynasty. He ruled from 1325 to 1351.
• None of these is the correct answer.