1.

If `A=sin theta+ cos theta and B=sin theta - cos theta`, then which of the following is true ?A. `A^(2)+B^(2)=1`B. `A^(2)-B^(2)=2`C. `A^(2)+B^(2)=2`D. `2A^(2)+B^(2)=4`

Answer» Correct Answer - C
Apply `(a+b)^(2)+(a-b)^(2)=2(a^(2)+b^(2)) and sin^(2) theta+ cos^(2) theta =1 `.


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