Correct Option
The correct option is (b).
Explanation
The Governor is the constitutional head of the state executive and an integral part of the State Legislature. The Constitution lays down specific conditions for the Governor's office and defines their powers regarding the appointment of the Chief Minister.Statement 1 is Incorrect: According to Article 158 (Conditions of Governor’s office), the Governor shall not be a member of either House of Parliament or of a House of the Legislature of any State. Although Article 168 makes the Governor an integral part of the State Legislature (along with the Legislative Assembly and Legislative Council, where it exists), they are distinct from the membership of the House.
Statement 2 is Correct: Article 164 of the Constitution explicitly states that the Chief Minister shall be appointed by the Governor. While the Governor usually appoints the leader of the majority party in the Legislative Assembly as the Chief Minister, the formal power of appointment is vested in the Governor.
Key Takeaway: The Governor is an integral part of the State Legislature but is not a member of the Legislative Assembly or Council. The power to appoint the Chief Minister is vested exclusively in the Governor under Article 164.