Explanation:

• Akshay  Kumar  Dutt  was  one  of  the  initiators  of  the  Bengal  Renaissance. In 1839, he joined the Tattwabodhini Sabha and soon became its assistant secretary. He was appointed a teacher of the Tattwabodhini Pathsala the next year and in 1843, Tattwabodhini Patrika was published as mouthpiece of both the Tattwabodhini Sabha and Brahmo Samaj. He was the first editor of the journal and contributed substantially towards the development of prose writing in Bengali.
• Akshay Kumar held that all-natural and social phenomena could be analyzed and understood by purely mechanical processes. This perspective not only enabled them to adopt a rational  approach  to  tradition but also to evaluate the contemporary socio-religious practices from the standpoint of social utility.
• In advocating widow marriage and opposing polygamy and child marriage, Akshay Kumar was not concerned about religious sanction or whether they existed in the past. His arguments were mainly based on their effects of Society. Instead of depending on the scriptures, he cited medical Opinion  against Child marriage. He held very advanced ideas about marriage and family: courtship before marriage, partnership and equality as the basis of married life and divorce by both law and custom.
• Hence option a is the correct answer.