If and , then the number of possible values of in…

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

A=\begin{bmatrix}\cos\theta&2\sin\theta\\\sin\theta&\cos\theta\end{bmatrix}

and

A^{-1}=A^T

, then the number of possible values of

\theta

[0,2\pi]

is (a) 2 (b) 3 (c) 1 (d) 4