Let the mean and the | Statistics | JEE MAIN 2026

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JEE MAIN 2026

06-04-2026 S2

Question

Let the mean and the variance of seven observations $2,4, \alpha, 8, \beta, 12,14, \alpha<\beta$, be 8 and 16 respectively. Then the quadratic equation whose roots are $3 \alpha+2$ and $2 \beta+1$ is :

Select the correct option:

A

$x^2-35 x+306=0$

B

$x^2-41 x+420=0$

C

$x^2-45 x+506=0$

D

$x^2-37 x+342=0$

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Solution

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