The correct answer is (a) Article 14.
Article 14 of the Constitution of India guarantees equality before the law and equal protection of the laws to all persons within the territory of India. This means that no person shall be denied equality before the law or the equal protection of the laws within the territory of India on grounds of religion, race, caste, sex, place of birth or any of them.
A legislation which confers on the executive or administrative authority an unguided and uncontrolled discretionary power in the matter of application of law violates Article 14 because it gives the executive or administrative authority the power to discriminate between persons or classes of persons without any reason or justification. This is arbitrary and discriminatory and violates the fundamental right to equality guaranteed under Article 14.
Article 28 guarantees freedom of religion to all persons. It prohibits the State from making any law which may interfere with the freedom of conscience or the right freely to profess, practice and propagate religion.
Article 32 guarantees the right to move the Supreme Court by appropriate proceedings for the enforcement of the fundamental rights conferred by Part III of the Constitution.
Article 44 provides for the promotion of scientific temper, humanism and the spirit of inquiry and reform. It states that the State shall endeavor to secure for all citizens a uniform civil code throughout the territory of India.
Therefore, the correct answer is (a) Article 14.