Correct Option
Vishakhadatta (A) was a prominent playwright of ancient India. His notable works include Mudrarakshasa and Devi Chandraguptam, which are significant for their historical and political themes. Thus, he is associated with Drama (2).
Varahamihira (B) was a distinguished astronomer, astrologer, and mathematician. His encyclopedic treatise, Brihat Samhita, covers various aspects of astronomy and natural sciences. Therefore, he is linked to Astronomy (3).
Charaka (C) is revered as one of the foundational figures of Ayurveda, the traditional Indian system of medicine. His seminal work, Charaka Samhita, is a comprehensive text on medical practices, diagnosis, and treatment. Hence, he is associated with Medicine (1).
Brahmagupta (D) was an influential mathematician and astronomer. His major work, Brahmasphutasiddhanta, introduced advanced concepts in mathematics, including the rules for zero and negative numbers. This aligns him with Mathematics (4).
Incorrect Options
The other options contain incorrect pairings of the scholars with their respective fields of contribution. For example, option 1 incorrectly associates Vishakhadatta with Medicine and Brahmagupta with Drama. Option 2 misattributes Charaka to Astronomy and Varahamihira to Medicine. Option 4 incorrectly links Varahamihira to Mathematics and Vishakhadatta to Astronomy. The correct matching requires precise knowledge of their specialized domains.