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The correct answer is option 1: Chhattisgarh and Tamil Nadu.
Chhattisgarh is the largest state among the given options in terms of geographical area. It is located in central India and covers an area of approximately 135,191 square kilometers.
On the other hand, Tamil Nadu is the smallest state among the given options. It is located in the southern part of India and covers an area of approximately 130,060 square kilometers.
Option 2 is incorrect because it states that Andhra Pradesh is the smallest state, which is not true.
Option 3 is incorrect because it states that Chhattisgarh is the smallest state, which is also not true.
Option 4 is incorrect because it states that Telangana is the largest state, which is not true.
Therefore, the correct answer is option 1: Chhattisgarh and Tamil Nadu are the largest and smallest states respectively in terms of geographical area.