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Straight Lines and Pair of Straight Lines question

2022 · 28 Jun · Shift 2 · Q33

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Mathematics
Straight Lines and Pair of Straight Lines
2022 · 28 Jun · Shift 2 · Q33

Straight Lines and Pair of Straight Lines question

2022 · 28 Jun · Shift 2 · Q33

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

Let a triangle be bounded by the lines L1 : 2x + 5y = 10; L2 :

-

4x + 3y = 12 and the line L3, which passes through the point P(2, 3), intersects L2 at A and L1 at B. If the point P divides the line-segment AB, internally in the ratio 1 : 3, then the area of the triangle is equal to :

A
${{110} \over {13}}$
B
${{132} \over {13}}$
C
${{142} \over {13}}$
D
${{151} \over {13}}$

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