If ${g^2} + {f^2} = c$,then the equation ${x^2} + {y^2} + 2gx + 2fy + c = 0$ will represent
- A$A$ circle of radius $g$
- B$B$ circle of radius $f$
- C$C$ circle of diameter $\sqrt{c}$
- D$D$ circle of radius $0$
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