The values of for which | Determinants | JEE MAIN 2024

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27-01-24 S2

Question

The values of $\alpha$, for which $\left|\begin{array}{ccc}1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \frac{1}{3} & \alpha+\frac{1}{3} \\ 2 \alpha+3 & 3 \alpha+1 & 0\end{array}\right|=0$, lie in the interval

Select the correct option:

A

$(-2,1)$

B

$(-3,0)$

C

$\left(-\frac{3}{2}, \frac{3}{2}\right)$

D

$(0,3)$

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