Which one of the following conditions guarantees that the equation represents a real…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Which one of the following conditions guarantees that the equation x2+y2+2gx+2fy+c=0x^2 + y^2 + 2gx + 2fy + c = 0 represents a real circle? (a) g2+f2−c=0g^2 + f^2 - c = 0 (b) g2+f2+c=0g^2 + f^2 + c = 0 (c) g2+f2−c>0g^2 + f^2 - c > 0 (d) g2+f2−c<0g^2 + f^2 - c < 0

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