The correct answer is Option 3: I, II, and IV.

I. Vijnanesvara:

Vijnanesvara, also known as Vijnaneshwara, was a famous jurist of medieval India. He was a Brahmin scholar from the Chalukya dynasty and lived during the 12th century. Vijnanesvara is renowned for his work called the "Mitakshara," which is a commentary on the Yajnavalkya Smriti, an important legal text in Hindu law. The Mitakshara is considered one of the most significant texts in the field of Hindu law and has greatly influenced legal practices in medieval India.

II. Hemadri:

Hemadri, also known as Hemadpant, was another prominent jurist of medieval India. He lived during the 13th century and was a minister in the court of the Yadava dynasty. Hemadri is well-known for his work called the "Chaturvarga Chintamani." This text covers various aspects of law, including civil and criminal law, as well as topics related to governance, ethics, and social customs. Hemadri`s Chaturvarga Chintamani is considered an important legal treatise in medieval India.

IV. Jimutavahana:

Jimutavahana was a renowned jurist and scholar from medieval India. He is associated with the legal text called the "Dayabhaga," which is a commentary on the Yajnavalkya Smriti. The Dayabhaga focuses on inheritance law and property rights within the framework of Hindu law. Jimutavahana`s work, along with Vijnanesvara`s Mitakshara, has had a significant impact on the development and understanding of legal practices in medieval India.

Based on the above information, it can be concluded that Options 1, 2, and 4 are incorrect.

Option 1 (I, II, and III) is incorrect because it includes Rajasekhara, who was not a famous jurist of medieval India. Rajasekhara, also known as Kavi Rajasekhara, was a Sanskrit poet and playwright, not a jurist.

Option 2 (II, III, and IV) is incorrect because it does not include Vijnanesvara, who was indeed a famous jurist and his work, the Mitakshara, had a significant influence on medieval Indian law.

Option 4 (I and IV) is incorrect because it does not include Hemadri, who was an important jurist of medieval India and his work, the Chaturvarga Chintamani, contributed to the understanding of legal principles during that period.

Therefore, the correct answer is Option 3: I, II, and IV (Vijnanesvara, Hemadri, and Jimutavahana).