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Question

The number of integral values of n such that sinx(sinx+cosx)=n has atleast one real solution is

A
4
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B
1
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C
3
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D
2
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Solution

The correct option is D 2
sinx(sinx+cosx)=nsin2x+sinx cosx=n1cos2x2+sin2x2=nsin2xcos2x=2n122n12122n1+22n=0,1

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