Let θ=π/5 and A=[cosθ sinθ... | Matrices | JEE Main

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JEE MAIN 2020

06-09-2020 S2

Question

Let $\theta=\frac{\pi}{5}$ and $\mathrm{A}=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$. If $\mathrm{B}=\mathrm{A}+\mathrm{A}^4$, then $\operatorname{det}(\mathrm{B})$ :

Select the correct option:

A

lies in (2, 3).

B

is zero.

C

is one.

D

lies in (1, 2)

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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