Coordinate Geom...

If $$(a, b)$$ is the mid-point of the line segment joining the points $$A (10, 6)$$ and $$B (k, -4)$$ and $$a+  2b = 18,$$ find the value of $$k.$$

The point which divides the line joining the points $$A(1, 2)$$ and $$B(-1, 1)$$ internally in the ratio $$1:2$$ is

If $$P\left(\dfrac{a}{2},4\right)$$ is the mid-point of the line-segment joining the points A(-6,5) and B(-2,3), then the value of a is

The area of triangle ABC (in sq. units) is :

Find the mid point of (3,8) and (9,4).

C is the mid-point of PQ, if P is $$(4, x)$$, C is $$(y, -1)$$ and Q is $$(-2, 4)$$, then x and y respectively are-

Area of the triangle formed by the points P(-1.5, 3), Q(6, -2) and R(-3, 4) is 0.

Coordinates of the points which divides the join of $$(-1, 7)$$ and $$(4, -3)$$ in the ratio $$2:3$$ are $$(1, 3).$$

If A(2, 4), B(6, 10), then find the midpoint of AB.

Find the mid point of $$(4,6)$$ and $$(2,-6)$$.