Both options 1 and 2 state that both statements are true. Option 1 further explains that statement II is the correct explanation of statement I, whereas option 2 does not provide any explanation.

Statement I states that Annie Besant worked together with the Congress and the Muslim League during the Home Rule Movement. This statement is true. Annie Besant, an Irish-born British activist, joined forces with Indian political parties like the Indian National Congress and the Muslim League to promote the concept of Home Rule for India.

Statement II states that Annie Besant felt that this collaboration was necessary to gain the support of the masses for the Home Rule Movement. This statement is also true. Annie Besant understood the importance of garnering popular support for the Home Rule Movement, and she believed that collaboration with Indian political parties would help achieve this goal.

Therefore, it can be concluded that both statements are individually true, and statement II is indeed the correct explanation of statement I. Working with the Congress and the Muslim League was essential for Annie Besant to mobilize the masses and gain their support for the Home Rule Movement.