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The correct answer is option 2: I and III.
Option 1: I and II. This statement is incorrect. Balaji Vishwanath did not help the Saiyid brothers in overthrowing Farrukh Siyar, the Mughul Emperor. Balaji Vishwanath served as the Peshwa (prime minister) of the Maratha Empire from 1713 to 1720 and focused on consolidating Maratha power in the Deccan region.
Option 2: I and III. This statement is correct. Balaji Vishwanath did not help the Saiyid brothers in overthrowing Farrukh Siyar, the Mughul Emperor. However, Madhav Rao did compel Haidar Ali of Mysore to pay tribute. Madhav Rao served as the Peshwa from 1761 to 1772 and was known for his military campaigns and alliances.
Option 3: I and III. This statement is correct. Balaji Vishwanath did not help the Saiyid brothers in overthrowing Farrukh Siyar, the Mughul Emperor. However, Madhav Rao did compel Haidar Ali of Mysore to pay tribute.
Option 4: Only II. This statement is