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Straight Lines and Pair of Straight Lines question

2024 · 31 Jan · Shift 2 · Q49

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JEE Main
Mathematics
Straight Lines and Pair of Straight Lines
2024 · 31 Jan · Shift 2 · Q49

Straight Lines and Pair of Straight Lines question

2024 · 31 Jan · Shift 2 · Q49

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

Let

A(a, b), B(3,4)

and

C(-6,-8)

respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of the point

P(2 a+3,7 b+5)

from the line

2 x+3 y-4=0

measured parallel to the line

x-2 y-1=0

is

A
$\frac{17 \sqrt{5}}{6}$
B
$\frac{15 \sqrt{5}}{7}$
C
$\frac{17 \sqrt{5}}{7}$
D
$\frac{\sqrt{5}}{17}$

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