A plane intersects the x,y,z axis at A,B,C respectively. If G(1,1,2) is centroid of `triangleABC`, then the equation of the line perpendicular to plane and passing through G is

Prove that the equation of a plane perpendicular to the line x-1=2-y=(z+1)/(2) and passing through (2,3,

A plane cuts the coordinate axes X,Y,Z at A,B,C respectively such that the centroid of the triangleABC is (6,6,3) . Then the equation of that plane is

Plane ax+by+cz=1 intersect axes in A,B,C respectively. If G((1)/(6),-(1)/(3),1) is the centroid of triangleABC , then a+b+3c= ………….

If a plane meets coordinate axes in points A,B,C such that the centroid of triangleABC is G(1,r,r^(2)) , then the equation of the plane is

Equation of the plane perpendicular to the line x/1=y/2=z/3 and passing through the point (2,3,4) is :

Equation of the plane perpendicular to the line x/1=y/2=z/3 and passing through the point (2, 3, 4) is

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