The correct answer is (c), Chaudhary Charan Singh.
Chaudhary Charan Singh was the 6th Prime Minister of India, serving from 28 July 1979 to 14 January 1980. He was the leader of the Janata Party and formed the government with the support of the Congress (I) party. However, he lost the confidence motion in the Lok Sabha on 14 January 1980 and was replaced by Indira Gandhi.
Chaudhary Charan Singh never faced the Parliament during his tenure as Prime Minister. This is because he was not elected to the Lok Sabha in the 1977 general election. He was elected to the Rajya Sabha in 1978. However, the Rajya Sabha is not a directly elected body and its members are not accountable to the people.
The other three options, Chandra Sekhar, V.P. Singh, and Atal Behari Vajpayee, all faced the Parliament during their tenure as Prime Minister. Chandra Sekhar was the 9th Prime Minister of India, serving from 2 December 1990 to 10 November 1991. He was the leader of the Janata Dal and formed the government with the support of the Congress (I) party. V.P. Singh was the 10th Prime Minister of India, serving from 2 December 1989 to 10 November 1990. He was the leader of the Janata Dal and formed the government with the support of the Bharatiya Janata Party (BJP). Atal Behari Vajpayee was the 11th and 13th Prime Minister of India, serving from 16 May 1996 to 12 May 1998 and from 13 October 1999 to 22 May 2004. He was the leader of the BJP and formed the government with the support of the All India Trinamool Congress (TMC) and the Shiv Sena.