The coordinates of points `P, Q, R and S` are `(-3, 5), (4, -2), (p, 3p) and (6, 3)` respectively, and the ares of `DeltaPQR and DeltaQRS` are in ratio 2:3. Find `p`.

The co-ordinates of two points P and Q are (2, 6) and (-3, 5) respectively. Find : the gradient of PQ.

The co-ordinates of two points P and Q are (2, 6) and (-3, 5) respectively. Find : the equation of PQ

If A and B are (1,\ 4) and (5,\ 2) respectively, find the coordinates of P when A P//B P=3//4 .

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

P, Q and R are three collinear points. P and Q are (3, 4) and (7, 7) respectively, and PR =10 units. Find the coordinates of R.

If P(-5,\ -3),\ Q(-4,\ -6),\ R(2,\ -3) and S(1,\ 2) are the vertices of a quadrilateral P Q R S , find its area.

The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) respectively and P is any point (x ,\ y) . Show that the ratio of the areas of triangles P B C and A B C is |(x+y-2)/7| .

If A and B are (-2,\ -2)\ a n d\ (2,\ -4) , respectively, find the coordinates of P such that A P=3/7A B and P lies on the line segment AB.