Write the coordinates of the centre of the circle passing through (0,0), (4,0) and (0,-6).

Explanation

[# XI_RD_24_065]


First, Find the lengths of the triangle OAB.


The distance between the points `(x_{1}, y_{1}) and (x_{2}, y_{2})` is


`sqrt{({x}_{1}-{x}_{2})^{2}+(y_{1}-y_{2})^{2}}`.


`Rightarrow O A=sqrt{(0-4)^{2}+(0-0)^{2}}`


`Rightarrow {OA}=sqrt{(-4)^{2}+0^{2}}`


`Rightarrow OA=4`


`Rightarrow {OB}=sqrt{(0-0)^{2}+(0-(-6))^{2}}`


...