Step 1: Understanding the Concept:
The question refers to a key provision in the Constitution of India that governs the administrative relations between the Union and the States. It outlines the obligation of the State governments to exercise their executive power in a manner that respects and upholds the laws made by the Union Parliament. This ensures the supremacy of Union law throughout the territory of India.
Step 2: Detailed Explanation:
Let's analyze the given articles:
\begin{itemize}
\item Article 352: Deals with the Proclamation of a National Emergency.
\item Article 256: This article is titled "Obligation of States and the Union." It states: "The executive power of every State shall be so exercised as to ensure compliance with the laws made by Parliament and any existing laws which apply in that State, and the executive power of the Union shall extend to the giving of such directions to a State as may appear to the Government of India to be necessary for that purpose." This is a direct match with the text of the question.
\item Article 254: Deals with the doctrine of repugnancy. It states that if any provision of a State law is repugnant to a Union law on a concurrent subject, the Union law shall prevail. This is about legislative inconsistency, not executive compliance.
\item Article 301: Deals with the freedom of trade, commerce, and intercourse throughout the territory of India.
\end{itemize}
The provision that specifically mandates the State's executive to comply with Parliament's laws is Article 256.
Step 3: Final Answer:
The mentioned provision is under Art.256.