The citizenship is mentioned in Part II of the Constitution. The citizenship provisions are covered under Article 5 to 11 of the Constitution. The Constitution of India has established a single Citizenship for the whole of the country.

The Citizenship Act (1955) prescribes three ways of losing citizenship whether acquired under the Act or prior to it under the constitution, viz, renunciation, termination and deprivation. Hence option 3 & option 4 are incorrect in this regard.

The United States has accepted the principal citizenship. Every citizen enjoys dual citizenship firstly in the U.S.A. firstly as a citizen of the U.S. A. and secondly as a citizen of the state where he resides.

Article 11 of the Constitution of India declares that the Parliament shall have the power to regulate the right of citizenship by making law. By exercising this power, Parliament enacted Citizenship Act, 1955 which gives provisions for acquisition and termination of citizenship. The Central Government by exercising its power under Section 18 of the Citizenship Act made Citizenship Rules, 2009 and Citizenship (Amendment) Rule, 2015.

NRC - National Register of Citizens
NPR -  National Population Register
CAA - Citizenship amendment act

To acquire citizenship by registration under Section 5(1)(a) of Citizenship Act, 1955 the person of Indian origin must be residing in India for 7 years.

Part III (Art. 12-35) of the Constitution enumerates 6 Fundamental Rights which are provided to citizens.

Article 21 of the Indian Constitution is related to the Protection of 'Life and Personal Liberty'. Article 19 guarantees the freedom of Speech and Expression. Article 22 is about protection against arrest and detention in certain cases.

In the case of Menaka Gandhi Vs. UOI, 1978 the Sun Court held that right to travel abroad is a fundamental rights and is secured by Article 21.

All the given statements are correct except (d) as Judiciary (The Supreme Court and the High Courts ) is the guardian of fundamental right not the President.