The correct answer is (c). Protection of the Fundamental Rights.
The Supreme Court and the High Courts have the power to protect the Fundamental Rights of citizens. The Supreme Court has original jurisdiction in cases involving the violation of Fundamental Rights, while the High Courts have original jurisdiction in cases involving the violation of Fundamental Rights that occur within their respective states.
The other options are incorrect because they are not subjects that come under the common jurisdiction of the Supreme Court and the High Court.
(a) Mutual disputes among States are resolved by the Supreme Court under Article 138 of the Constitution.
(b) Disputes between the Centre and the State are resolved by the Supreme Court under Article 131 of the Constitution.
(d) Protection from the violation of the Constitution is a power that is vested in the Supreme Court under Article 32 of the Constitution.