Final answer:
The Imams in the context of the question are not directly connected to the historical movements mentioned. However, considering historical Ismaili settlements, Alamut could be considered the settled location, yet caution is advised due to potential unspecified historical nuances.
Step-by-step explanation:
Settlement of Imams After Leaving Salamiyya
The question asks where the Imams settled after leaving Salamiyya. Salamiyya was a significant location for the Ismaili branch of Shia Islam, but it is important not to confuse the various historical Islamic movements and their migrations. There is no direct indication from the information provided that links the Imams' settlement to Salamiyya with other historical Islamic movements. However, among the options given, the most notable is Alamut, which became the headquarters for the Nizari Ismailis—a group distinct from the Imams mentioned in the context of the question—under Hasan-i Sabbah after the 11th century. Therefore, without specific information concerning the particular Imams referred to, based on historic settlements associated with Ismaili groups, Alamut in present-day Iran could be considered the correct answer, albeit with caution due to potential historical nuances not specified in the question.