Under the Government of India Act, 1919, separate electorates for the representation of Indian Christians and Anglo-Indians were created. Separate electorates were a system of representation in which members of specific religious or ethnic communities were elected separately, rather than being part of a general electorate.

The Indian Councils Act, 1861 (option 1) did not create separate electorates for Indian Christians and Anglo-Indians. This act introduced the concept of non-official members being appointed to the legislative councils, but did not specifically address separate electorates.

The Government of India Act, 1909 (option 2) also did not create separate electorates for Indian Christians and Anglo-Indians. This act, also known as the Morley-Minto Reforms, introduced limited electoral reforms, but separate electorates for specific communities were not part of these reforms.

Likewise, the Government of India Act, 1935 (option 4) did not create separate electorates for Indian Christians and Anglo-Indians. This act introduced significant constitutional reforms, but did not include provisions for separate electorates for these specific communities.

Therefore, the correct answer is option 3, the Government of India Act, 1919