Final answer:
Imam Hasan Ali Shah was given the hereditary title of Aga Khan by the British government, establishing him as the spiritual leader of the Nizari Ismaili Shia Muslims.
Step-by-step explanation:
The hereditary title given to Imam Hasan Ali Shah by the British government was Aga Khan. The title of Aga Khan was bestowed in the 19th century and established a line of spiritual leaders for the Nizari Ismaili Shia Muslims. This title has been passed down through generations, with the current holder being Aga Khan IV. The Aga Khan is said to be France's most influential owner-breeder and record winner of The Prix de Diane, sometimes referred to as the French Oaks. The Aga Khan owns Gilltown Stud near Kilcullen, Ireland, and the Haras de Bonneval breeding farm at Le Mesnil-Mauger in France.