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

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

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