Question Id : 13440 |
Context : JEE Main 2023 (11 April Evening Shift)
If
\[
\begin{vmatrix}
x+1 & x & x \\
x & x+\lambda & x \\
x & x & x+\lambda^2
\end{vmatrix}
= \dfrac{9}{8}\,(103x+81),
\]
then $\lambda,\ \dfrac{\lambda}{3}$ are the roots of the equation:
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