Mathematics · 2023
JEE Main · 11 April 2023, Shift 2 · Q5
If |x+1, x, x; x, x+λ, x; x, x, x+λ^2| =9/8(103 x+81), then λ, (λ)/3 are the roots of the equation
If $\displaystyle \left|\begin{array}{ccc}x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^2\end{array}\right|=\frac{9}{8}(103 x+81)$, then $\displaystyle \lambda, \frac{\lambda}{3}$ are the roots of the equation
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 4 x^2-24 x+27=0$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.