Mathematics · 2026
JEE Main · 6 April 2026, Shift 2 · Q8
Let the mean and the variance of seven observations 2,4, α, 8, β, 12,14, α<β, be 8 and 16 respectively. Then the quadratic equation whose roots are 3…
Let the mean and the variance of seven observations $\displaystyle 2,4, \alpha, 8, \beta, 12,14, \alpha<\beta$, be $\displaystyle 8$ and $\displaystyle 16$ respectively. Then the quadratic equation whose roots are $\displaystyle 3 \alpha+2$ and $\displaystyle 2 \beta+1$ is :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle x^2-41 x+420=0$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.