Correct Option (a):
The Chief Justice of a High Court, when exercising administrative powers, remains subject to the writ jurisdiction of other judges of the same High Court. Article 226 of the Constitution empowers High Courts to issue writs to any person or authority within their territorial jurisdiction, including for the enforcement of fundamental rights and for any other purpose. This provision ensures that administrative decisions made by the Chief Justice are not immune from judicial review, thereby upholding the principles of accountability and the rule of law within the judicial system.
Incorrect Options:
- Option (b): The Chief Justice of India does not exercise administrative control over the Chief Justices or judges of High Courts in their administrative functions. High Courts operate with constitutional autonomy within their respective jurisdictions.
- Option (c): The Governor of a state has no constitutional or legal authority to supervise or intervene in the administrative decisions of the High Court or its Chief Justice. The judiciary functions independently of the executive.
- Option (d): The Chief Minister of a state is not vested with any constitutional or legal powers to control or oversee the High Courts or their judges, whether in administrative or judicial matters. The judiciary is separate from the executive.