The circle represented by the equation x-2-y-2-2 g x-2 f y-c-0 will be a point circle- if- begin-array-ll-text - -A- - g-2-f-2-c- - -text - -B- - g-2-f-2-c-0- -text - -C- - g-2-f-2-c- - -text - -D- None of these -end-array-

Question

The circle represented by the equation x-2-y-2-2 g x-2 f y-c-0 will be a point circle- if- begin-array-ll-text - -A- - g-2-f-2-c- - -text - -B- - g-2-f-2-c-0-  -text - -C- - g-2-f-2-c- - -text - -D- None of these -end-array-

Toppr Admin · Accepted Answer

The circle represented by the equation $$x^{2}+y^{2}+2 g x+2 f y+c=0$$ will be a point circle, if- $$\begin{array}{ll}{\text { (A) } g^{2}+f^{2}=c} & {\text { (B) } g^{2}+f^{2}+c=0} \\ {\text { (C) } g^{2}+f^{2}>c} & {\text { (D) None of these }}\end{array}$$