Sarthaks Test
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If x, y ∈ R, then the determinant Δ = \(\begin{vmatrix} cos\,x & -sin\,x & 1 \\ sin\,x & cos\,x & 1 \\ cos(x+y) & -sin(x+y) & 0 \end{vmatrix}\) lies in the interval

A. \([-\sqrt{2},\sqrt{2}]\)

B. \([-1,1]\)

C. \([-\sqrt{2},1]\)

D. \([-1,-\sqrt{2}]\)

1 Answer

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Best answer

Correct answer is A.

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