Coordinate Geom...

The mid-point of the line $$(a, 2)$$ and $$(3, 6)$$ is $$(2, b)$$. Find the numerical values of $$a$$ and $$b$$.

The mid-point of the line segment joining the point $$\left( {3m,6} \right)$$ and $$\left( { - 4,3n} \right)$$ is $$(1,2m - 1)$$. Find $$(m,n)$$.

If the  points $$(2, 5), (4, 6)$$ and $$(a, a)$$ are collinear, then find the value of $$a$$.

Area of the triangle formed by $$(x_{1,}y_{1}),(x_{2},y_{2}), (3y_{2},(-2y_{1}))$$

The length of the median from the vertex A of a triangle whose vertices are $$A (-1, 3),$$ B $$(1, -1)$$ and C$$(5,1)$$ is 

Find the area of the triangle formed by the mid points of sides of the triangle whose vertices are $$(2, 1)$$, $$(-2, 3)$$, $$(4, -3)$$.

Find the coordinates of the point $$P$$ which divides the join of $$A(-2,5)$$ and $$B(3,-5)$$ in the ratio $$2:3$$

The midpoints of the sides of a triangle are $$\left(1,1\right),\left(4,3\right)$$ and $$\left(3,5\right)$$. The area of the triangle is ___ square units.

If $$P(1,2),Q(4,6),R(5,7)$$ and $$S(a,b)$$ are the vertices of a parallelogram $$PQRS$$, then

If A (-2, 1) B (1 , 0), C (x , 3 ) and D (1, Y) are the vertices of a Parallelogram ABCD, then find the values of x and y.