Class 12Mathematics3 and 4 .Determinants and MatricesExpansion of determinants, Solution of equation in the form of determinants and area of triangle and Equation of Line
MediumThe solution of the equation $\left| \begin{array}{ccc} \cos \theta & \sin \theta & \cos \theta \\ -\sin \theta & \cos \theta & \sin \theta \\ -\cos \theta & -\sin \theta & \cos \theta \end{array} \right| = 0$ is:
- A$\theta = n\pi$
- B$\theta = 2n\pi \pm \frac{\pi}{2}$
- C$\theta = n\pi \pm (-1)^n \frac{\pi}{4}$
- D$\theta = 2n\pi \pm \frac{\pi}{4}$
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Medium
View SolutionIf matrix $A = \begin{bmatrix} \sin \theta & \csc \theta & 1 \\ \csc \theta & 1 & \sin \theta \\ 1 & \sin \theta & \csc \theta \end{bmatrix}$ is a non-invertible matrix,then the possible value of $\theta$ is $(n \in \mathbb{Z})$
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