Step 1: Understanding the Concept:
Jyotish literature uses a rich vocabulary of synonyms (Amara-kosha based) for planets. These synonyms often hint at the astrological nature or mythological origin of the planet.
Step 2: Detailed Matching of Epithets:
1. Tapana (A): Derived from the root 'tap' (to heat/burn). The Sun is the primary source of heat. (A matches IV).
2. Mahijah (B): 'Mahi' = Earth, 'Ja' = Born from. Mars is mythological known as the "Son of Earth" (Bhauma). (B matches III).
3. Jeevah (C): 'Jeeva' = Life/Soul. Jupiter (Brihaspati) is the planet of wisdom and life-force. (C matches II).
4. Aguh (D): 'A' = without, 'Gu' = head/form (in some esoteric contexts) or related to 'Rahu' which is the headless dragon/body. (D matches I).
Step 3: Verification:
Sequence: A-IV, B-III, C-II, D-I. This corresponds to Option (3).
Step 4: Final Answer:
The synonyms reflect the Sun as the burner, Mars as the earthy planet, and Jupiter as the life-giver.