Let P and Q be the points on the line (x+3)/8 = (y-4)/2 = (z+1)/2… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 1 February, Shift 2Equation of Line in 3D

Let P and Q be the points on the line $\frac{x+3}{8} = \frac{y-4}{2} = \frac{z+1}{2}$ which are at a distance of $6$ units from the point $R(1, 2, 3)$ . If the centroid of the triangle PQR is $(\alpha, \beta, \gamma)$ , then $\alpha^2 + \beta^2 + \gamma^2$ is:

A
$26$
B
$36$
C
$18$
D
$24$

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