Please explain it with Diagrammatic Representation, Q. A plane meets the coordinate axes in A, B, C such that the centroid of triangle ABC is the point (p, q, r). Show that the equation of the plane is x p + y q + z r = 3 Share with your friends Share 0 Neha Sethi answered this Dear student The question is saying:A plane cuts the coordinates axes at A,B,C respectively.Centroid is given as p,q,r.Show equation of plane isxp+yq+zr=3 Although everything has been explained properly, but still I am providingthe solution.Let the equation of plane be,xa+yb+zc=1 ...1The plane meets the coordinate axes at A,B and C.Hence we haveAa,0,0,B0,b,0,C0,0,cSince centriod of △ABC is p,q,rSo, p=a+0+03⇒3p=aq=0+b+03⇒3q=br=0+0+c3⇒3r=cPutting in eq 1So, x3p+y3q+z3r=1⇒xp+yq+zr=3is the required eq. of plane Regards 0 View Full Answer