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f(x , y)=x^2+y^2+2a x+2b y+c=0 represent...

`f(x , y)=x^2+y^2+2a x+2b y+c=0` represents a circle. If `f(x ,0)=0` has equal roots, each being `2,` and `f(0,y)=0` has 2 and 3 as its roots, then the center of the circle is

A

`(2,(5)/(2))`

B

Data are not consistent

C

`(-2,-(5)/(2))`

D

Data are inconsistent

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The correct Answer is:
B
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