Question

( x^{2}+2 g x+g^{2}-g^{2}+y^{2}+2 f y+f^{2}-f^{2}+c=0 )
( Rightarrow quad(x+g)^{2}+(y+f)^{2}=g^{2}+f^{2}-c )
( Rightarrow(x+g)+(y+f)^{2}=(sqrt{g^{2}+f^{2}-c})^{2} )
( (sin 2)(x-10)^{2}+left(y-y_{0}right)^{2}=x^{2} )
( Rightarrow ) Ifs anepn. of circe

# then show that it * 6. Suppose a point (x, y) satisfies x2 + y2 + 2gx + 2fy +C =0 then show represents a circle whenever g, f and c are real. 2...2.2ar 12 te=0.

Solution