The Chief Minister of a state is appointed by:

The correct option is Governor.

Step-by-Step Explanation:

1. Constitutional Provision:
According to Article 164 of the Constitution of India, the Chief Minister is appointed by the Governor of the respective state.

2. Appointment Process:
After a Legislative Assembly (Vidhan Sabha) election, the leader of the party (or coalition) that secures a clear majority of seats is invited by the Governor to form the government and is appointed as the Chief Minister.

3. Council of Ministers:
Other ministers in the state cabinet are also appointed by the Governor, but strictly on the advice of the Chief Minister.