Who is called pioneer of Indian Renaissance in 19^th A. D.?

d) is correct. Raja Ram Mohan Roy pioneered reforms in religion and social life. He is also considered to have started the wave of Indian nationalism.

a) is incorrect. Swami Vivekananda was the founder of Ramakrishna Mission, and was born towards the end of the 19^th century, in 1863.

b) is incorrect. Swami Dayanand Sarawati was a Hindutva leader who established the Arya Samaj in North India in 1875.

c) is incorrect. Ishwar Chandra Vidyasagar was a Bengali reformer, who worked to further education and reform in the Bengali society.