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Straight Lines and Pair of Straight Lines question

2023 · 13 Apr · Shift 2 · Q29

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Straight Lines and Pair of Straight Lines
2023 · 13 Apr · Shift 2 · Q29

Straight Lines and Pair of Straight Lines question

2023 · 13 Apr · Shift 2 · Q29

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

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 :

A
$x^{2}-7 x+12=0$
B
$x^{2}-13 x+42=0$
C
$x^{2}-14 x+48=0$
D
$x^{2}-10 x+25=0$

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