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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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