Step 1: Understanding the Concept:
This question requires matching various dance and cultural centers with their correct locations.
Step 2: Detailed Explanation:
- (A) Chhau Centre: The Mayurbhanj style of Chhau dance is famous, and a major centre for its training and promotion is located in Baripada, Odisha. So, A matches with (III).
- (B) Centres for Koodiyattam: Koodiyattam is a traditional Sanskrit theatre form from Kerala. Major institutions preserving it, such as Kerala Kalamandalam, are located in the region of Thiruvananthapuram (Kerala). So, B matches with (IV).
- (D) Manipur Dance Centre: Manipuri dance originates from Manipur. The Jawaharlal Nehru Manipur Dance Academy, a premier institution, is located in Imphal, the capital of Manipur. So, D matches with (II).
- (C) Dakshin Bharat Sanskritik Kendra: This translates to "South Indian Cultural Centre." By elimination, it matches with Hyderabad (I). While Hyderabad is not the only southern cultural hub, this is the logical pairing left.
Step 3: Final Answer:
The correct matching is A-III, B-IV, C-I, D-II.