If a plane meets the coordinates axes at A, Band C, in such a way that the centroid of `Delta ABC` is at the point `(1,2,3)`, the equation of the plane is

If a plane meets the coordinate axes in A, B, C such that the centroid of the triangle ABC is the point (a,b,c) then show that the equation of the plane is (x)/(a)+(y)/(b)+(z)/(c)=3 .

If a plane meets the coordinate axes at A,B,C such that the centroid of the triangle ABC is the point (u,v,w), find the eqution of the plane.

A plane meets the coordinates axes in A, B, C such that the centroid of the triangle ABC is the point (a,a,a) .Then the equation of the plane is x+y+z=p , where p is ___

A plane meets the coordinates axes in A, B, C such that the centroid of the triangle ABC is the point (a,a,a) .Then the equation of the plane is x+y+z=p , where p is ___

If a plane meets the coordinate axes at A, B, C such that the centroid of the triangle ABC is the point (1,r,r^(2)) , then show that the equation of the plane is r^(2)x+ry+z=3r^(2) .

A plane meets the coordinate axes at A,B and C respectively such that the centroid of triangle ABC is (1,-2,3). Find the equation of the plane.