Explanation:

- Periyar Wildlife Sanctuary is a renowned protected area in India famous for its rich biodiversity.

- It's situated in the southern state of Kerala, known for its lush landscapes and backwaters.

- Kerala, option 2, is home to many diverse ecosystems and is a tourist favorite for wildlife enthusiasts.

- Option 1: Uttar Pradesh - Known mainly for historical sites like the Taj Mahal, not for this sanctuary.

- Option 3: Madhya Pradesh - While rich in natural reserves, it doesn't house the Periyar Sanctuary.

- Option 4: Maharashtra - Famous for its cities and cultural landmarks, but not associated with Periyar.

- Thus, the correct answer is:

Kerala (Option 2)