defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Determinants Evaluation of Determinants
The values of α, for which
\(\left|\begin{array}{ccc} 1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \frac{1}{3} & \alpha+\frac{1}{3} \\ 2 \alpha+3 & 3 \alpha+1 & 0 \end{array}\right|=0\) , lies in the interval
1
(–2, 1)
2
(–3, 0)
3
\(\left(-\frac{3}{2}, \frac{3}{2}\right)\)
4
(0, 3)