The correct answer is option 1, President of India. The Governor of an Indian State is appointed by the President of India. The Constitution of India grants the President the power to appoint Governors for each state. The Governor acts as the ceremonial head of the state and represents the President in the state. They also have various constitutional powers and functions, including the power to appoint the Chief Minister, dissolve the state legislative assembly, and give assent to bills passed by the state legislature. The Governor serves as a link between the Central Government and the State Government, and their role is crucial in maintaining the constitutional balance and smooth functioning of the state.