The 'Badshahnama', a history of Shah Jahan's reign, was written by:

The "Badshahnama" (also "Padshahnama") is the official history of the reign of the Mughal emperor Shah Jahan, written in Persian by Abdul Hamid Lahori.

About the Badshahnama:

• Shah Jahan commissioned Abdul Hamid Lahori, a pupil of Abul Fazl, to write the history of his reign in the style of Abul Fazl's "Akbarnama".
• Lahori wrote the account of the first twenty years of Shah Jahan's reign (1627-1647), in two volumes, each covering ten years (a "daur").
• Because of old age, he could not continue, and the third decade was written by his pupil Muhammad Waris.
• The Badshahnama describes the emperor's court, ceremonies, military campaigns, buildings (including the Taj Mahal) and administration.

A famous illustrated copy of the Badshahnama is in the Royal Collection at Windsor Castle, England. Its paintings show court scenes, battles and processions.

Other important Mughal histories and memoirs:

• Baburnama (Tuzuk-i-Baburi): Babur's memoirs, written in Chagatai Turkish.
• Humayun-nama: written by Gulbadan Begum, Babur's daughter and Humayun's sister.
• Akbarnama and Ain-i-Akbari: by Abul Fazl, Akbar's court historian.
• Muntakhab-ut-Tawarikh: by Abdul Qadir Badauni, a critical history of Akbar's reign.
• Tabaqat-i-Akbari: by Nizamuddin Ahmad.
• Tuzuk-i-Jahangiri (Jahangirnama): Jahangir's memoirs.
• Shahjahannama: by Inayat Khan.
• Alamgirnama: by Mirza Muhammad Kazim, about Aurangzeb's first ten years.
• Maasir-i-Alamgiri: by Saqi Mustaid Khan, about Aurangzeb's reign.

About Shah Jahan (reigned 1628-1658):

• He built the Taj Mahal (Agra), the Red Fort and Jama Masjid (Delhi), and the city of Shahjahanabad.
• His reign is often called the "golden age" of Mughal architecture.

Why not the other options?

• ✗Abul Fazl wrote the "Akbarnama" and "Ain-i-Akbari".
• ✗Gulbadan Begum wrote the "Humayun-nama".
• ✗Abdul Qadir Badauni wrote the "Muntakhab-ut-Tawarikh".