Correct Option
Statement 1 is correct. Article 59(1) of the Constitution of India stipulates that the President shall not be a member of either House of Parliament or of a House of the Legislature of any State. If a person holding such membership is elected President, they are deemed to have vacated their seat in that House on the date they enter upon their office as President.
Statement 2 is correct. Article 79 of the Constitution explicitly states, "There shall be a Parliament for the Union, which shall consist of the President and two Houses to be known respectively as the Council of States and the House of the People." This establishes the President as an integral component of the Union Parliament.
Incorrect Options
Option (a) is incorrect because both statements 1 and 2 are explicitly provided for in the Constitution of India, as detailed above.
Option (c) is incorrect because statement 2 is constitutionally valid as per Article 79.
Option (d) is incorrect because statement 1 is constitutionally valid as per Article 59(1).