Let A=\left(\begin{array}{cc}-\cot \theta & {\cosec\end{array} \theta ; {\cosec} \theta , -\cot \theta)}. If A^{-1}=A at \theta=\theta_1 and A^{-1}+A=0 at \theta=\theta_2, then which one of the following is True?

Correct Answer is : θ1=π2, such θ2 does not exist

\theta_1=\frac{\pi}{2}, \theta_2=\pi

\theta_1=\frac{\pi}{2}, such \theta_2 does not exist

\theta_1=\frac{\pi}{4}, \theta_2=\frac{\pi}{2}

such \theta_1 does not exist, \theta_2=\pi

AP EAPCET 16th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 3 of 160

Marks: +1, -0

Let A=(

−cot‌θ	cosec‌θ
cosec‌θ	−cot‌θ

). If A−1=A at θ=θ1 and A−1+A=0 at θ=θ2, then which one of the following is True?

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