As to Ministerial responsibility, it may be stated that the constitution follows in main the British principle except as to the legal responsibility of individual ministers for acts done by or on behalf of the President.
The principle of collective responsibility is codified in Article 75 (3) of the constitution – “The council of ministers shall be collectively responsible to the House of the people, “So, the Ministry, as a body, shall be under a constitutional obligation to resign as soon as it loses the confidence of the popular House of the legislature.
The collective responsibility is to the House of the people even though some of the Ministers may be members of the council of states.”
Of course instead of resigning, the ministry shall be competent to advise the president to exercise his power of dissolving the legislature (Lok Sabha) on the ground that the house doesn’t represent the views of the electorate faithfully.