Coordinate Geom...

If $$A$$ and $$B$$ are the points $$(-3,4)$$ and $$(2,1)$$, then the co-ordinates of the point $$C$$ on $$AB$$ produced such that $$AC=2BC$$ are 

The coordinate of point which divides the line segment joining points $$A(0,0)$$ and $$B(9,12)$$ in the ratio $$1:2$$, are

Find the area of the triangle formed by joining the mid points of the sides of the triangle whose vertices are $$(0.-1), (2, 1) and (0, 3)$$

If $$(1, 2), (4, y), (x, 6) $$ and $$(3, 5)$$ are the vertices of a parallelogram taken in order find $$x\ and\ y$$ 

If $$A(-2, 1), B(a, 0), C(4, b)$$ and $$D(1, 2)$$ are the vertices of a parallelogram ABCD taken in order, find the values of $$a$$ and $$b.$$ 

Find the area of the triangle whose vertices are $$(-5, -1), (3, -5), (5, 2)$$

Find the Co-ordinate of the points $$O$$ bisection of the line segment joining $$(4, -1)$$ and $$(-2, -3)$$.

If $$(3, -4)$$ and $$(-6, 5)$$ are the extremities of a diagonal of a parallelogram and $$(2, 1)$$ is its third vertex, then its fourth vertex is?

If the vertices of a triangle are $$(1,2),(4,-6)$$ and $$(3,5)$$, then its area is

If $$A(-2,4), B(0,0)$$ and $$C(4,2)$$ are the vertices of a $$\triangle{ABC}$$, then find the length of median through the vertex $$A$$.