Final answer:
Banda Singh Bahadur was born on 27 October 1670, and Guru Tegh Bahadur, the ninth Sikh Guru, was executed for defending religious freedom and belonged to the Sikh religion.
Step-by-step explanation:
Banda Singh Bahadur was born on 27 October 1670, which corresponds to option (a). He was a prominent figure in Sikh history known for his valiant struggle against the Mughal Empire for Sikh sovereignty and establishment of Khalsa rule in parts of Northern India.
Regarding the execution of Guru Tegh Bahadur, option (a) is correct. Guru Tegh Bahadur was the ninth Sikh Guru and was executed by Mughal Emperor Aurangzeb for refusing to convert to Islam and for defending the religious freedom of Hindus. He was indeed a leader of the Sikh religion.