In a three-dimensional coordinate systm, P,Q and R are images of a point A (a,b,c) in the x-y,y-z and z-x planes, respectively. If G is the centroid of triangle PQR, then area of triangle AOG is (O is the origin)

In a three-dimensional coordinate system, P ,Q , and R are images of a point A(a ,b ,c) in the x-y ,y-z and z-x planes, respectively. If G is the centroid of triangle P Q R , then area of triangle AOG is ( O is the origin) (A) 0 (B) a^2+b^2+c^2 (C) 2/3(a^2+b^2+c^2) (D) none of these

In a three-dimensional coordinate system, P ,Q ,a n dR are images of a point A(a ,b ,c) in the x-y ,y-za n dz-x planes, respectively. If G is the centroid of triangle P Q R , then area of triangle A O G is ( O is the origin) a. 0 b. a^2+b^2+c^2 c. 2/3(a^2+b^2+c^2) d. none of these

In a three-dimensional coordinate system, P ,Q ,a n dR are images of a point A(a ,b ,c) in the x-y ,y-za n dz-x planes, respectively. If G is the centroid of triangle P Q R , then area of triangle A O G is ( O is the origin) a. 0 b. a^2+b^2+c^2 c. 2/3(a^2+b^2+c^2) d. none of these

P is a point (a, b, c). Let A, B, C be images of Pin y-z, z-x and x-y planes respectively, then the equation of the plane ABC is

A plane meets the coordinate axes at A, B and C respectively such that the centroid of triangle ABC is (p, q, r). The equation of the plane is

If the plane x/2+y/3+z/4=1 cuts the coordinate axes in A, B,C, then the area of triangle ABC is

Show that a x+b y+r=0,b y+c z+p=0a n dc z+a x+q=0 are perpendicular to x-y ,y-za n dz-x planes, respectively.

Show that a x+b y+r=0,b y+c z+p=0a n dc z+a x+q=0 are perpendicular to x-y ,y-za n dz-x planes, respectively.

Normal at 3 points P, Q, and R on a rectangular hyperbola intersect at a point on a curve the centroid of triangle PQR

Normals at points P, Q and R of the parabola y^(2)=4ax meet in a point. Find the equation of line on which centroid of the triangle PQR lies.