The correct answer is (c).
Statement 1 is correct. The Constitution of India provides for only one citizenship, which is Indian citizenship. A person cannot hold dual citizenship. Domicile, on the other hand, is a concept of personal law and refers to the place where a person has his or her permanent home.
Statement 2 is incorrect. A citizen by birth can become the Head of State, but so can a citizen by naturalization. The Constitution of India does not specify that only a citizen by birth can become the Head of State.
Statement 3 is correct. A foreigner once granted the citizenship cannot be deprived of it under any circumstances. The Constitution of India provides for the right to citizenship and also provides that no person can be deprived of his or her citizenship except in accordance with law.
Here is a brief explanation of each option:
(a) Statement 1 only. This option is incorrect because Statement 2 is also correct.
(b) Statement 2 only. This option is incorrect because Statement 1 is also correct.
(c) Statement 1 and 3. This option is correct because both Statements 1 and 3 are correct.
(d) Statement 2 and 3. This option is incorrect because Statement 1 is also correct.