The correct answer is Option 1: "It promoted a systematic study of India’s past in the Bengali language." Tattvabodhini Patrika was a journal that played a significant role in the Bengal Renaissance, a cultural and intellectual movement in 19th century Bengal, India. The journal aimed to revive and promote the study of India`s history, culture, and philosophy. It was written in the Bengali language, making it accessible to a wider audience and helping to spread knowledge and awareness about India`s past.

Option 2, which states that Tattvabodhini Patrika promoted a systematic study of India`s past through Sanskrit sources, is incorrect. While the journal may have included references to Sanskrit sources in its articles, it primarily focused on promoting the study of India`s past in the Bengali language.

Option 3, which mentions the promotion of a systematic study of India`s past through Persian sources, is also incorrect. Tattvabodhini Patrika did not primarily focus on Persian sources.

Option 4, which suggests that the journal promoted a systematic study of India`s past through Western sources, is incorrect as well. The focus of Tattvabodhini Patrika was on India