Let (α,β) be the centroid of the triangle formed... | Straight Lines

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:

$x^2-7 x+12=0$

$x^2-13 x+42=0$

$x^2-14 x+48=0$

$x^2-10 x+25=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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