Coordinate Geom...

The mid-point of line segment joining the points (3, 0) and (-1, 4) is :

There are two point $$P(1,-4)$$ and $$Q(4,2)$$. Find a point X dividing the line PQ in the ratio $$1:2$$

The co-ordinates of a point (x,y) which divides the straight line joining two points $$\displaystyle \left ( x_{1},y_{1} \right )$$ and $$\displaystyle \left ( x_{2} ,y_{2}\right )$$ internally in the ratio $$\displaystyle m_{1}$$ and $$\displaystyle m_{2}$$ are

The mid-point of a line segment is $$(-4,-2)$$ and one end of the line segement is $$(-6,4)$$. The co-ordinates of the other end are

Find the point, which bisects line segment joining the points $$P(-2,0)$$ and $$Q(2,5)$$

If the area of a triangle is $$68 $$ sq. units and the vertices are $$(6, 7), (-4, 1)$$ and $$(a, -9) $$ then the value of $$a$$ is 

The co-ordinates of the point which divides the line joining $$(1,-2)$$ and $$(4,7)$$ internally in the ratio $$1:2$$ are

The point which divides the line segment joining the points (3, 5) and (8, 10) internally in the ratio 2:3 is:

The point P divides the line joining the points (5, 0) and (0, 4) in the ratio 2 : 3 internally. The x co-ordinate of P is

$$L, M$$ and $$N$$ are the midpoints of the sides $$BC, CA$$ and $$AB$$ respectively of triangle $$ABC$$. If the vertices are $$A(3,-4), B(5,-2)$$ and $$C(1,3)$$ the area of $$\displaystyle \triangle LMN$$ is ____ square units.