Correct Option (a):
Statement 1 is correct. Article 218 of the Constitution extends the provisions of Article 124(4) and 124(5), which govern the removal of a Supreme Court Judge, to a High Court Judge. Consequently, the procedure for removing a High Court Judge is identical to that for a Supreme Court Judge. This involves an address by Parliament, supported by a special majority (two-thirds of members present and voting and a majority of the total membership of each House), presented to the President on grounds of proved misbehaviour or incapacity.
Incorrect Options:
Statement 2 is incorrect. Article 220 of the Constitution specifies that a person who has held office as a permanent Judge of a High Court is prohibited from pleading or acting in any court or before any authority in India, with certain exceptions. These exceptions include the Supreme Court and other High Courts (excluding the one in which the individual served as a permanent Judge). Therefore, the statement's absolute prohibition is inaccurate.
Option (b) is incorrect as Statement 2 is factually incorrect.
Option (c) is incorrect as Statement 2 is factually incorrect.
Option (d) is incorrect as Statement 1 is factually correct.