C_{1} and C_{2} be two concentric circles.The radius of C_{2} being twice that of C_{1}.From a point P on C_{2} tangents PA and PB are drawn to C_{1}.Prove that the centroid of the triangle PAB lies on C_{1}.

UP 0 DOWN 0 0 0
C_{1} and C_{2} be two concentric circles.The radius of C_{2} being twice that of C_{1}.From a point P on C_{2} tangents PA and PB are drawn to C_{1}.Prove that the centroid of the triangle PAB lies on C_{1}.