The correct answer is (c), Raja Rammohan Roy.
Raja Rammohan Roy was a Bengali polymath who was a social reformer, writer, translator, and the founder of the Brahmo Samaj. He is considered the father of modern India. He was offered membership of the Royal Asiatic Society of Paris in 1825.
Dadabhai Naoroji was an Indian economist, politician, and social reformer who is considered the “Father of Indian Economics”. He was the first Indian to be elected to the British Parliament. He was not offered membership of the Royal Asiatic Society of Paris.
Michael Madhusudan Dutt was a Bengali poet and playwright who is considered one of the pioneers of modern Bengali literature. He was not offered membership of the Royal Asiatic Society of Paris.
Vivekananda was an Indian Hindu monk, philosopher, and social reformer who is considered one of the most influential figures in modern Indian history. He was not offered membership of the Royal Asiatic Society of Paris.