Coordinate Geom...

If the line segment joining $$\displaystyle (2, 3)$$ and $$\displaystyle(-1, 2)$$ is divided internally in the ratio $$3 : 4$$ by the line $$\displaystyle x+ 2 y=k,$$ then $$k$$ is :

On the Cartesian plane, Q is the midpoint of the line segment PR.
Find the value of x, y.

In the diagram above, KN is a straight line. L and M are two points on KN such that  $$KL=LM$$  and  $$KM=MN$$. Find the coordinates of L.

The coordinates of three consecutive vertices of a parallelogram are $$\displaystyle (1, 3), (-1, 2)$$ and $$\displaystyle (2, 5).$$ The coordinates of the fourth vertex are 

The co-ordinates of the points which divide the line segment joining the points $$(-2, 2)$$ and $$(6, -6)$$ in four equal parts is 

In the diagram, M is the midpoint of PQ
Find the value of k.

The co-ordinates of the point A which divide the line segment $$GH$$ joining the points $$G(-4,12)$$ and $$H(11,-3)$$ internally in the ratio $$m: n=2:3$$ are

The distance of the point $$Z (-2.4, -1)$$ from the origin is

Coordinates of $$P$$ and $$Q$$ are $$(4,-3)$$ and $$(-1, 7)$$. The abscissa of a point $$R$$ on the line segment $$PQ$$ such that $$\dfrac{PR}{PQ}=\dfrac{3}{5}$$ is 

The co-ordinates of the mid point of segment $$KR$$, where $$K(2.5, -4.3)$$ and $$R(-1.5, 2.7)$$, are