Final answer:
Bibi Fatima was the mother of Hazrat Hasan and Hazrat Imam Hussein, who were important figures in Islamic history and significant to the Shia Islamic lineage(option a).
Step-by-step explanation:
Bibi Fatima was related to Hazrat Hasan and Hazrat Imam Hussein as their a) mother.
Both Hasan and Hussein were significant figures in Islamic history, being the grandsons of the Prophet Muhammad. Hazrat Hasan and Hazrat Hussein were the children of Bibi Fatima and her husband, Hazrat Ali, who was the cousin and son-in-law of the Prophet Muhammad. Hazrat Ali is considered to be the first Imam by Shia Muslims, and Bibi Fatima is revered as the daughter of the Prophet. This familial relationship established the lineage which is of great importance in Shia Islam because legitimate caliphs had to be descended from Hazrat Ali and Bibi Fatima.