If O is the origin and co-ordinates of A and B are `(a,b)` and `(b,a)` respectively,then the locus of the point P which moves such that the area of the `Delta PAB` is one third of the area of the `Delta OAB` is

Let O be the origin and A, B be the two points having coordinates (0, 4) and (6, 0) respectively. If a point P moves in such a way that the area of the Delta OPA is always twice the area of Delta POB , then P lies on

If the coordinates of two points A and B are (3,\ 4) and (5,\ -2) respectively. Find the coordinates of any point P , if PA = PB, and area of triangle PAB is 10.

A(0,0),B(1,2) are two points.If a point P moves such that te area of Delta PAB is 2sq . units then the locus of P is

A(5,3),B(3,-2) are two fixed points; find the equation to the locus of a point P which moves so that the area of the triangle PAB is 9 units.

The locus of P such that area of triangle PAB is 12 squnits

A (2,3),B(-3,4) are two points.If a point "P" moves such that the area of Delta PAB is 8.5 sq.Units then the locus of "P" is

The coordinates of three points O, A, B are (0, 0), (0,4) and (6, 0) respectively. A point P moves so that the area of Delta POA is always twice the area of Delta POB . Find the equation to both parts of the locus of P.

In a triangle PQR, the co- ordinates of points P, Q and R are (3, 2) , (6, 4) and (9, 3) respectively . Find the co-ordinates of centroid G. Also find areas of Delta PQG and Delta PRG .