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If g^(2)+f^(2)=c, then the equation x^(2...

If `g^(2)+f^(2)=c`, then the equation `x^(2)+y^(2)+2gx+2fy+c=0` will represent

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Theorem: Prove that the equation x^(2)+y^(2)+2gx+2fy+c=0 always represent a circle whose centre is (-g;-f) and radius sqrt(g^(2)+f^(2)-c)