MCQ
$\begin{vmatrix}1&\sin\theta&1\\-\sin\theta&1&\sin\theta\\-1&-\sin\theta&1\end{vmatrix}$ નિશ્ચાયકના મૂલ્યનો ગણ................
- A$(2,3)$
- B$(3,4)$
- C$(4,5)$
- ✓$(2,4)$
$\therefore \begin{vmatrix}1 & \sin \theta & 1 \\- \sin \theta & 1 & \sin \theta \\-1 & - \sin \theta & 1\end{vmatrix}$
$(C_1\rightarrow C_1 +C_3)$
$\therefore \begin{vmatrix}2 & \sin \theta & 1 \\0 & 1 & \sin \theta \\0 & - \sin \theta & 1\end{vmatrix}$
$= 2 (1+\sin^2 \theta) \Rightarrow 2+2\sin^2 \theta \in (2,4)$
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