Let two vertices of a triangle ABC be (2, 4, 6) and (0,-2,-5), an… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 10 April, Shift 1Equation of Plane

Let two vertices of a triangle ABC be $(2, 4, 6)$ and $(0,-2,-5)$ , and its centroid be $(2, 1,-1)$ . If the image of the third vertex in the plane $x + 2y + 4z = 11$ is $(\alpha, \beta, \gamma)$ , then $\alpha\beta + \beta\gamma + \gamma\alpha$ is equal to:

A
$76$
B
$74$
C
$70$
D
$72$

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