Class 12Mathematics3-4. Matrices and DeterminantsExpansion of determinants, Solution of equation in the form of determinants and area of triangle and Equation of Line
EasyFor $0 < \theta < \frac{\pi}{2}$,if $A = \begin{bmatrix} 1 & -\cos \theta & -1 \\ \cos \theta & 1 & -\cos \theta \\ 1 & \cos \theta & 1 \end{bmatrix}$,then which of the following is true regarding $\operatorname{det}(A)$?
- A$\operatorname{det}(A) \in (2, \infty)$
- B$\operatorname{det}(A) = 0$
- C$\operatorname{det}(A) \in (2, 4)$
- D$\operatorname{det}(A) \in [2, 4]$
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