Chief Election Commissioner is appointed by the Prime Minister of India.
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The Chief Election Commissioner (CEC) of India is not appointed by the Prime Minister. The appointment process of the CEC is governed by the Constitution of India and the Chief Election Commissioner is appointed by the President of India. Let's understand this in more detail.

Appointment Process of the Chief Election Commissioner:
1. Article 324 of the Constitution of India establishes the Election Commission of India (ECI) and provides for the appointment of the Chief Election Commissioner and other Election Commissioners.
2. The President of India appoints the Chief Election Commissioner. The President acts on the advice of the Prime Minister in this appointment.
3. The Chief Election Commissioner is appointed for a term of six years or until the age of 65, whichever is earlier. The Chief Election Commissioner can also resign or be removed from office before the completion of the term.

Role and Responsibilities of the Chief Election Commissioner:
1. The Chief Election Commissioner is the head of the Election Commission of India, which is an independent constitutional authority responsible for the conduct and supervision of elections in the country.
2. The Chief Election Commissioner oversees the electoral process, ensures free and fair elections, and enforces the Model Code of Conduct during elections.
3. The Chief Election Commissioner and the Election Commission have the authority to decide on matters related to elections, including the scheduling of elections, voter registration, candidate nominations, and election disputes.

Independence of the Election Commission:
1. The Election Commission of India is designed to be an independent and impartial body to ensure fair elections in the country.
2. The appointment of the Chief Election Commissioner and Election Commissioners by the President helps to maintain the autonomy and impartiality of the Election Commission.
3. The Chief Election Commissioner and Election Commissioners are insulated from political interference and are expected to discharge their duties without any bias or favoritism.

Therefore, it is incorrect to say that the Chief Election Commissioner is appointed by the Prime Minister of India. The Chief Election Commissioner is appointed by the President of India, acting on the advice of the Prime Minister.

The President appoints the Chief Election Commissioner and Election Commissioners.The Chief Election Commissioner can be removed from office only through impeachment by Parliament.