The correct answer is option 1: "Under Article 129 and Article 144 of the Constitution of India, the Supreme Court has been vested with power to punish for contempt of court" is not correct.

Option 1 is not correct because Article 129 and Article 144 of the Constitution of India do provide the Supreme Court with the power to punish for contempt of court. Contempt of court refers to any behavior that disobeys, obstructs, or undermines the authority or dignity of the court. The Supreme Court uses this power to maintain its authority and protect the administration of justice.

Option 2 is correct. The Supreme Court has been given advisory jurisdiction, which means it can provide opinions or advice on legal matters referred to it by the President or the Governor of a state. This advisory jurisdiction helps in clarifying legal aspects and resolving constitutional questions.

Option 3 is correct. The Supreme Court has the discretion to refuse to provide an opinion to the President if it is asked to do so in certain circumstances. The court may exercise this discretion if it believes that giving such an opinion would not be appropriate or necessary.

Option 4 is correct. The law declared by the Supreme Court is binding on all courts within the territory of India. This means that decisions made by