Let A(a, b), B(3, 4), and C(-6, -8) denote the centroid, circumce… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 31 January, Shift 2Straight Line Equations

Let $A(a, b)$ , $B(3, 4)$ , and $C(-6, -8)$ denote the centroid, circumcenter, and orthocenter of a triangle. The distance of the point $P(2a+3, 7b+5)$ from the line $2x + 3y - 4 = 0$ measured parallel to $x - 2y - 1 = 0$ is:

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

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