The correct answer to the question is option 1, 1889. The British Committee of the Indian National Congress was founded in 1889. This committee played a significant role in the Indian nationalist movement as it represented the interests and concerns of the Indian community living in Britain.

Option 2, 1892 is incorrect as it does not match the founding date of the committee.

Option 3, 1898 is also incorrect as it does not coincide with the actual year of establishment.

Finally, option 4, 1901 is also incorrect as it is not the accurate founding date.

It is important to understand that the formation of the British Committee of the Indian National Congress in 1889 allowed for greater coordination and communication between the Indian nationalist movement and the diaspora community in Britain. This committee served as an important platform for expressing political grievances and advocating for self-governance for India.