Coordinate Geom...

Find the points which divide the line segment joining $$A(-4,0)$$ and $$B(0,6)$$ into two equal parts.

Find the point $$P$$ which divides the line segment joining the points $$A(1,-3)$$ and $$B(-3,9)$$ internally in the ratio $$1:3$$. 

Area of the triangle formed by the points $$(0,0),(2,0)$$ and $$(0,2)$$ is

The midpoint of the line joining $$(a,-b)$$ and $$(3a,5b)$$ is

Find the value of $$a$$ if area of the triangle is $$17$$ square units whose vertices are $$(0,0), (4,a), (6,4)$$.                         

A(1, 2) and (3, -2) are the end points of $$\overline{AB}$$. Then the midpoints of $$\overline{AB}$$.

If $$A = (-3, 4), B = (-1, -2), C = (5, 6), D = (x, -4)$$ are vertices of a quadrilateral such that $$\Delta ABD = 2 \Delta ACD$$. Then $$x$$, is equal to:

For $$A(1,2)$$ and $$B(3,-2)$$, the coordinates of the midpoint of $$AB$$ are is ..........

If $$C$$ is a point on the line segment joining $$A(-3,4)$$ and $$B(2,1)$$ such that $$AC=2BC$$, then the coordinates of $$C$$ is

Find the area (in square units) of the triangle whose vertices are $$(a, b+c), (a, b-c) $$ and $$(-a, c). $$