The values of α, for which 1 3/2 α+3/2 1 1/3 α+1/3 2α+3 3α+1 0 =… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 27 January, Shift 2Determinants Basics

The values of $\alpha$ , for which $\begin{vmatrix} 1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \frac{1}{3} & \alpha+\frac{1}{3} \\ 2\alpha+3 & 3\alpha+1 & 0 \end{vmatrix} = 0$ , lie in the interval:

A
$(-2,1)$
B
$(-3,0)$
C
$\left(-\frac{3}{2},\frac{3}{2}\right)$
D
$(0,3)$

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