Let `A (0,2 ) , B ( 3, 0 ) , C ( 6, 4 ) ` be the vertices of triangle and P is a point inside the triangle such that area of triangle APB, BPC and CPA are equal. Equation of circle circumscribing ` Delta APB ` is :

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas , then the length of the line segment PQ, where Q is the point ( - ( 7 ) /(6), - ( 1 ) /(3)) , is _________.

Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas , then the length of the line segment PQ, where Q is the point ( - ( 7 ) /(6), - ( 1 ) /(3)) , is _________.

Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR, PQR are of equal area. The coordinates of R are

Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR, PQR are of equal area. The coordinates of R are

Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR, PQR, OQR are of equal. The coordinates of Rare

Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR, PQR, OQR are of equal. The coordinates of R are