JEE Main 2020 (Online) 6th September Evening ShiftQuestion 1
A plane $P$ meets the coordinate axes at $A$, $B$ and $C$ respectively. The centroid of $\Delta ABC$ is given to be $(1,1,2)$. Then the equation of the line through this centroid and perpendicular to the plane $P$ is :
3D Geometry
Solution
Centroid $(1,1,2)$ gives intercepts $A(3,0,0),B(0,3,0),C(0,0,6)$. Plane $\frac x3+\frac y3+\frac z6=1$, normal $\propto(2,2,1)$. Line: $\frac{x-1}2=\frac{y-1}2=\frac{z-2}1$. Answer (D).