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The correct answer is option 3, Nagaijunasagar Srisailam. Nagaijunasagar Srisailam is the largest tiger reserve in India in terms of the area of the core/critical tiger habitat.
Option 1, Manas, is a tiger reserve located in Assam. Although it is an important tiger habitat, it is not the largest in terms of area.
Option 2, Pakke, is a tiger reserve located in Arunachal Pradesh. While it is a significant tiger habitat, it is not the largest in terms of area.
Option 4, Periyar, is a tiger reserve located in Kerala. Although it is a well-known tiger reserve, it is not the largest in terms of the area of the core/critical tiger habitat.
Therefore, the correct answer is option 3 - Nagaijunasagar Srisailam. This tiger reserve, situated in Andhra Pradesh and Telangana, is the largest in India in terms of the area of the core/critical tiger habitat.