Find the equation of the circle the end point of whose diameter are (2,-3) and (2,4). Find its centre and radius.

Explanation

The diameters `(2,-3) and (-2,4)`. (given)


By use of formula,


Centre = (-a,-b)


`=[(2-2) / 2,(-3+4) / 2] `


`=(0,1 / 2)`


Use the distance formula,


`sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}`


` r=sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}`


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