Step 1: Understanding the Concept:
The question requires matching famous Indian literary works with their respective authors.
Step 2: Detailed Explanation:
- (A) Ramayana: The ancient Sanskrit epic is traditionally attributed to the sage (IV) Valmiki.
- (B) Geetanjali: This is a collection of poems, "Gitanjali: Song Offerings," for which (I) Rabindranath Tagore won the Nobel Prize in Literature in 1913.
- (C) Mahabharata: The other major Sanskrit epic of ancient India is traditionally attributed to (II) Vyasa.
- (D) Astapadi: The term 'Astapadi' refers to the lyrical compositions in the Gita Govinda, a 12th-century work composed by the poet (III) Jayadev.
Step 3: Final Answer:
The correct matching is: (A)-(IV), (B)-(I), (C)-(II), (D)-(III).