The question is inquiring about the state in India where the country`s largest private sector sea port has been recently commissioned.

Option 1 - Andhra Pradesh: This is the correct answer. The largest private sector sea port of India has been commissioned recently in the state of Andhra Pradesh.

Option 2 - Karnataka: This is incorrect because even though this state has its own major sea ports, the largest private sector one is not located in Karnataka.

Option 3 - Kerala: This state has some renowned ports like Kochi, however, it doesn`t host India`s largest private sector sea port.

Option 4 - Tamil Nadu: Despite having major ports like Chennai and Tuticorin, the largest private sector sea port is not based in this state.

Therefore, the largest private sector sea port in India has been recently commissioned in the state of Andhra Pradesh, hence this is the correct answer.