Step 1: Verify Statement 1.
Under Article 217(1)(b), a High Court judge can be removed only by the President on the address of Parliament, on grounds of proved misbehaviour or incapacity. Statement 1 is true.
Step 2: Verify Statement 2.
The removal DOES require a special majority in Parliament (majority of total membership and two-thirds of members present and voting in each House), mirroring the SC judge removal process under Article 124(4). Statement 2 is false.
Step 3: Conclusion.
Only Statement 1 is correct.
\[ \boxed{\text{Only the statement (1) is true}} \]