Question

Mention one important function of Prime Minister in relation to the Council of Ministers.

Answer 1

Here is your answer

The leader of the majority party is known as prime minister. The council of ministers appointed in the recommendations of the PM and stays in office as long as the PM does. He plays an important role in the administration of the country. He also decides which member of the council of ministers is to be given which department of government.

...Hope it helps!

Answer 2

Mention one way by which the authority of the Prime Minister If the Prime Minister fails to carry out obligations or makes detrimental choices, then the members of The Council of Ministers is appointed by the President on the advice of the Prime Minister.
Council of Ministers is collectively responsible to the Lok Sabha.