The correct answer is option 4, The President of India. The Judges of the High Court are appointed by the President of India.

Let`s dissect the other options to understand why they are not correct. Option 1, The Chief Justice of India, is not the appointing authority for High Court judges. Although the Chief Justice of India does play a crucial role in the process of appointing judges, the actual appointment is done by the President.

Option 2, The Governor of the concerned State, is also not the correct answer. While the Governor has the power to appoint judges in the lower courts within the state, the appointment of High Court judges is not within the Governor`s jurisdiction.

Option 3, The Union Minister of Law, is also incorrect. The Union Minister of Law does not have the authority to appoint judges to the High Court. It is the President who has the power to make these appointments.

Therefore, the correct answer is option 4, The President of India.