A plane P meets the coordinate axes at A, B and C respectively. The centroid ofΔABC  is given to be (1, 1,2).  Then the equation of the line through this centroid and perpendicular to the plane P is

Plane be xa+yb+zc=1A=(a,0,0),B=(0,b,0),C=(0,0,c) Centroid, G=(1,1,2)⇒a3,b3,c3=(1,1,2)⇒a=3,b=3,c=6 Plane is x3+y3+z6=1  ⇒2x+2y+z=6Dr’s of the line perpendicular to the plane are (2, 2, 1) equation of the line are x-12=y-12=z-21