The question requires matching the names of eminent citizens from List-I with their respective well-known identities from List-II.

Option 1: A,B,C,D;1,3,4,2

This option matches Hema Bharali with conservationist, Vani Ganapathy with dancer, M.S. Narasmhan with mathematician, and Suprabha Seshan with Gandhian. This is not the correct answer as the order of matching is incorrect.

Option 2: A,B,C,D;1,4,3,2

This option matches Hema Bharali with conservationist, Vani Ganapathy with mathematician, M.S. Narasmhan with dancer, and Suprabha Seshan with Gandhian. This is not the correct answer as the matching of Vani Ganapathy and M.S. Narasmhan is incorrect.

Option 3: A,B,C,D;2,3,4,1

This option matches Hema Bharali with Gandhian, Vani Ganapathy with dancer, M.S. Narasmhan with mathematician, and Suprabha Seshan with conservationist. This is the correct answer as it matches the names with their well-known identities correctly.

Option 4