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JEE MAIN 2023
13-04-2023 S2
Question
Let $(\alpha, \beta)$ be the centroid of the triangle formed by the lines $15 x-y=82,6 x-5 y=-4$ and $9 x+4 y=$ 17. Then $\alpha+2 \beta$ and $2 \alpha-\beta$ are the roots of the equation.
Select the correct option:
A
$x^2-7 x+12=0$
B
$x^2-13 x+42=0$
C
$x^2-14 x+48=0$
D
$x^2-10 x+25=0$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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Mathematics
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