Let ABC be a triangle formed by the lines 7x - 6y + 3 = 0, x + 2y… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 1Straight Line Equations

Let $ABC$ be a triangle formed by the lines $7x - 6y + 3 = 0$ , $x + 2y - 31 = 0$ , and $9x - 2y - 19 = 0$ . Let the point $(h, k)$ be the image of the centroid of $\triangle ABC$ in the line $3x + 6y - 53 = 0$ . Then $h^2 + k^2 + hk$ is equal to:

A
$47$
B
$36$
C
$40$
D
$37$

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