Option 1: Syed Ahmed Brelvi

Syed Ahmed Brelvi was an Islamic scholar and military leader during the 19th century. He played a significant role in the Jihad movement in the Indian subcontinent, particularly in the regions of Punjab and Sindh. However, there is no record of him analyzing the causes of the uprising of 1857 or advocating for reconciliation between the British and Muslims. Therefore, option 1 is not the correct answer.

Option 2: Shah Waliullah

Shah Waliullah was an Islamic scholar and reformer who lived during the 18th century. While he made significant contributions to Islamic theology and worked towards the revival of Islamic practices in India, there is no evidence to suggest that he analyzed the causes of the uprising of 1857 or advocated for reconciliation between the British and Muslims. Therefore, option 2 is not the correct answer.

Option 3: Syed Ahmed Khan

The correct answer is option 3. Syed Ahmed Khan was a Muslim reformer who analyzed the causes of the uprising of 1857 and advocated for a reconciliation between the British and Muslims. He believed that cooperation with the British would be beneficial for the Muslim community in India. He emphasized modern education and social reforms to