The question asks to identify the group for which History is a mandatory subject. Based on the logical constraints provided in the source material, the group consisting of A, B, and C satisfies the requirement for History to be a compulsory subject, which aligns with option D.

Shan-ul-Haq Haqqi was a distinguished Urdu poet, journalist, and linguist. He was well-known for his contributions to Urdu literature and lexicography, including his work on the Urdu dictionary. He passed away on July 11, 2005, while residing in Canada. His death was a significant loss to the literary community, and he is remembered for his profound impact on the Urdu language.

Hajra Masroor was a prominent figure in Urdu literature, known for her progressive writings and feminist themes. She migrated to Pakistan after the partition of the subcontinent and settled in Lahore. She remained an influential literary voice throughout her life and passed away in Lahore on September 15, 2012, leaving behind a significant legacy in South Asian literature.

Altaf Hussain Hali was a highly influential Urdu poet and literary critic. He is widely recognized for his significant contributions to Urdu literature, including the critical work 'Muqaddama-e-Shair-o-Shairi', which laid the foundation for modern Urdu literary criticism. His other notable works, such as 'Maddo-Jazar-i-Islam' and 'Hayat-ı-Saadi', further cemented his reputation as a scholar and critic of his time.

Upon reviewing the subject distribution for each individual, it is observed that while E shares the same set of subjects as F, the roles of compulsory and optional subjects are reversed. Since no other individual matches the specific configuration of compulsory and optional subjects held by F, the correct conclusion is that none of the listed options are valid.

The literary masterpiece 'Aab-i-Hayat' is widely recognized as a seminal work in Urdu literature, authored by Muhammad Hussain Azad. It provides a comprehensive history of Urdu poetry and its development over time, serving as a foundational text for scholars and students of the language.

The novel 'Mirat-ul-Uroos', often translated as 'The Bride's Mirror', was written by Deputy Nazir Ahmad. He was a pioneer of the Urdu novel and used his writing to advocate for social reform and female education in the 19th century. His work is considered a cornerstone of modern Urdu literature.

Mirza Ghalib is widely regarded as one of the most influential poets in the Urdu and Persian languages. Beyond his profound poetry, he is celebrated for his extensive collection of letters, which were compiled into the famous prose works 'Ud-i-Hindi' and 'Urdu-i-Mualla'. These letters provide significant insight into his life, his literary philosophy, and the historical context of 19th-century India.

'Bal-i-Jibril' (Wings of Gabriel) is a highly acclaimed collection of Urdu poetry written by the philosopher and poet Allama Muhammad Iqbal. It is considered one of his most significant contributions to Urdu literature, containing profound philosophical and spiritual themes.

Hasrat Mohani is recognized for his significant contributions to Urdu literature and his association with the term 'Urdu-e-Mualla'. This work reflects his literary style and historical context within the Urdu language tradition. The provided answer key identifies Hasrat Mohani as the correct author for this specific question.