The Council of Ministers is mentioned in Article 74 of the Indian Constitution. According to this article, there shall be a Council of Ministers with the Prime Minister as its head to aid and advise the President who shall, in the exercise of his functions, act in accordance with such advice.
Article 75 of the Constitution provides for the appointment of the Prime Minister and other Ministers. According to this article, the Prime Minister shall be appointed by the President and the other Ministers shall be appointed by the President on the advice of the Prime Minister.
Article 77 of the Constitution provides for the conduct of business of the Government of India. According to this article, all executive actions of the Government of India shall be expressed to be taken in the name of the President, and the orders and other instruments made and executed in the name of the President shall be authenticated in such manner as may be specified in rules to be made by the President.
In addition to these articles, various other provisions of the Constitution also deal with the Council of Ministers, including their powers and responsibilities. For instance, Article 78 states that it shall be the duty of the Prime Minister to communicate to the President all decisions of the Council of Ministers relating to the administration of the affairs of the Union and proposals for legislation.