Final answer:
Banda Singh Bahadur appointed Fateh Singh as Governor of Samana during his military campaign against the Mughals after Guru Tegh Bahadur, the Sikh leader, was executed by Aurangzeb.
Step-by-step explanation:
Banda Singh Bahadur appointed Fateh Singh as Governor of Samana after he conquered the town as part of his military campaign against the Mughal Empire. This question is concerned with history, specifically the period following the execution of Guru Tegh Bahadur, who was the ninth Guru of the Sikhs and was executed by the Mughal emperor Aurangzeb. The correct answer to the question about Banda Singh's appointment is option (a) Fateh Singh.