Which of the following sages of ancient India wrote the 'Mimamsa-sutras'?

Jaimini

The correct answer is Option 1- Jaimini

Sage Jaimini wrote the Mimamsa Sutras.

The Mimamsa Sutras are a foundational text of the Mimamsa school of Hindu philosophy. The Mimamsa school is concerned with the interpretation and application of the Vedas. The Mimamsa Sutras are a systematic and comprehensive treatise on the Mimamsa school.

Jaimini is believed to have lived in the 4th to 2nd century BCE. He is said to have been a disciple of Rishi Veda Vyasa, the author of the Mahabharata.

The Mimamsa Sutras are a complex and challenging text. However, they are also a very important text for understanding the Mimamsa school of Hindu philosophy.

The other options:

Charaka was a physician and scholar who wrote the Charaka Samhita, one of the foundational texts of Ayurveda. Badarayana was a philosopher who wrote the Brahma Sutras, one of the foundational texts of Vedanta philosophy. Panini was a grammarian who wrote the Ashtadhyayi, a comprehensive treatise on Sanskrit grammar.