Coordinate Geom...

Find the area of the triangle whose vertices are $$(3,2), \ (-2, -3)$$ and $$(2,3)$$.

Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points $$(-2, -1)$$, $$(1,0)$$, $$(4,3)$$ and $$(1,2)$$ meet.

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

If $$(3, 4)$$ and $$(6, 5)$$ are the extremities of a diagonal of a parallelogram and $$(2, 1)$$ is its third vertex, then its fourth vertex is

Find the coordinates of the centre of a circle, if the coordinates of the end points of a diameter are $$(-3,8)$$ and $$(5,6)$$.

The mid-point of a line segment is $$(5,8)$$. If one end point is $$(3,5)$$, find the second end point

Find the mid-point of AB where A and B are the points $$(-5, 11)$$ and $$(7,3)$$. 

If two vertices of a parellelogram are $$(3,2)$$ and $$(-1,0)$$ and the diagonals intersect at $$(2, -5)$$, then the other two vertices are:

The area of a triangle is $$5$$. Two of its vertices are $$(2, 1)$$ & $$(3, -2)$$. The third vertex lies on $$y = x + 3$$. The third vertex can be

Find the area of the right-angled triangle whose vertices are $$(2, -2)$$ , $$(-2, 1)$$ and $$(5, 2).$$