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If x , y in R , then the determinant =|...

If `x , y in R ,` then the determinant `=|cosx-sinx1sinxcosx1cos(x+y)-sin(x+y)0|` lies in the interval `[-sqrt(2),sqrt(2)]` (b) `[-1,1]` `[-sqrt(2),1]` (d) `[-1,-sqrt(2)]`

A

`[-sqrt(2),sqrt(2)]`

B

`[-1,1]`

C

`[-sqrt(2),1]`

D

`[-1,-sqrt(2)]`

Text Solution

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The correct Answer is:
B
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