jee-main 2024 Q78

jee-main · India · session1_01feb_shift2 Vectors: Lines & Planes Perpendicular/Orthogonal Projection onto a Plane
If the mirror image of the point $P(3,4,9)$ in the line $\frac{x-1}{3} = \frac{y+1}{2} = \frac{z-2}{1}$ is $(\alpha, \beta, \gamma)$, then $14\alpha + \beta + \gamma$ is:
(1) 102
(2) 138
(3) 108
(4) 132
If the mirror image of the point $P(3,4,9)$ in the line $\frac{x-1}{3} = \frac{y+1}{2} = \frac{z-2}{1}$ is $(\alpha, \beta, \gamma)$, then $14\alpha + \beta + \gamma$ is:\\
(1) 102\\
(2) 138\\
(3) 108\\
(4) 132