Coordinate Geom...

If $$A$$ and $$B$$ are two points having co-ordinates $$(3,4)$$ and $$(5,-2)$$ respectively and $$P$$ is a point such that $$PA=PB$$ and area of triangle $$PAB=10$$ square units, then the co-ordinates of $$P$$ are

Length of the median from $$B$$ on $$AC$$ where $$A(-1, 3), B(1, -1), C(5, 1)$$ is 

A line intersects the y-axis and x-axis at points P and Q respectively . If $$ (2 , -5) $$ is the mid-point of PQ , then co-ordinates of P and Q are respectively.

The point which lies on the perpendicular bisector of the line segment joining the points A $$(-2 , -5) $$ and B$$(2 , 5) $$ is 

the area of a triangle with vertices $$ (-3, 0),(3,0) $$ and $$ (0, k) $$ is $$ 9 $$ sq units. then the value of $$ k $$ will be 

The coordinates of the point which divides the join of $$(x_1 , y_1)$$ and $$(x_{2} , y_{2})$$ in the ratio $$m_{1} : m_{2}$$ internally are 

The coordinates of the midpoint of the line segment joining $$(-8, 13)$$ and $$(x, 7)$$ is $$(4, 10)$$ then what is the value of $$x$$​

If points $$ (1,2),(-1, x) $$ and (2,3) are collinear, then $$ x $$ will be:

P divides internally the line segment which joins the points (5, 0) and (0, 4) in the ratio of 2 : 3 internally. Co-ordinates of point P is:

What will the co-ordinate of point A when $$ \mathrm{AB} $$ is a diameter of circle and coordinate of $$ \mathrm{B}(1,4) $$ and $$ \mathrm{co} $$ -ordinate of center $$ \mathrm{O} $$ is (2,-3)