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 [JEE Main 2024, 27 Jan (Shift 2)]

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The values of \(\alpha\), for which \(\left|\begin{array}{ccc}1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \f…

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The values of \(\alpha\), for which \(\left|\begin{array}{ccc}1 &amp; \frac{3}{2} &amp; \alpha+\frac{3}{2} \\ 1 &amp; \f…

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The values of \(\alpha\), for which \(\left|\begin{array}{ccc}1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \f…