The correct answer is option-1, the President. The President is authorized to transfer a judge of one High Court to another High Court.

Option-2, the Law Minister, is incorrect. The Law Minister does not have the authority to transfer judges of High Courts.

Option-3, the Chief Justice of India, is incorrect. Although the Chief Justice of India has a role in the appointment and transfer of judges, the authority to transfer judges of High Courts lies with the President.

Option-4, a Collegium of Judges of the Supreme Court, is incorrect. The Collegium of Judges of the Supreme Court has the power to recommend the transfer of judges within the same High Court or to select judges for appointment, but they do not have the authority to transfer judges from one High Court to another.

In summary, the authority to transfer judges of one High Court to another High Court lies with the President.