Answer: Option (B).
Explanation: Both the legislative and executive branches can exercise the power to check the judiciary branches by limiting the power of the court. The executive branch which is headed by the President exercises his check and balances power by nominating a justice in the event of vacancy while the congress confirms the nomination of the justices and shall be appointed by the President. So the President can only check the judiciary through his power to appoint the judges.
The house of representatives exercise the check and balances power through the impeachment of both members of the executive and judicial branches. Impeachment can be described as a process by which the legislative branches of government remove justices from office. The house of representatives usually impeaches the justices under the procedure provided under Article I of the United States Constitution. For the House of Representatives to exercise the power to impeach the justices, the Senate exercise the power to hold a trial to determine whether removal is appropriate. The Justice is removed with a simple majority vote, that is by a two-thirds majority of the senate and a trial of such.