Mathematics · 2025
JEE Main · 29 January 2025, Shift 2 · Q3
If the set of all a ∈ R, for which the equation 2 x^2+( a -5) x+15=3 a has no real root, is the interval (α, β), and X ={x ∈ Z: α<x<β}, then Σ_x ∈ X…
If the set of all $\displaystyle \mathrm{a} \in \mathbf{R}$, for which the equation $\displaystyle 2 x^2+(\mathrm{a}-5) x+15=3 \mathrm{a}$ has no real root, is the interval $\displaystyle (\alpha, \beta)$, and $\displaystyle \mathrm{X}=\{x \in Z: \alpha<x<\beta\}$, then $\displaystyle \sum_{x \in X} x^2$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 2139$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.