Home › AP EAPCET (Engineering) › Mathematics › Circle › The equation x² + y² + 2gx + 2fy + c = 0 represe…
The equation x² + y² + 2gx + 2fy + c = 0 represents a real circle when which condition holds?
Ag² + f² + c > 0
Bg + f − c > 0
Cg² + f² − c > 0
Dg² − f² − c > 0
Answer & Solution
Correct answer: C. g² + f² − c > 0
The radius is √(g² + f² − c), which is real and positive only when g² + f² − c > 0.
Related questions
Which chord of a circle is the longest possible one?A line meets a radius at right angles at its end on the circle. What is this line?Two chords of a circle are equal. What is true of their distances from the centre?The circle (x - 3)^2 + (y - 4)^2 = 25 passes through which point?A circle is the locus of points in a plane that areA plane cuts a double cone at right angles to its axis. The section is aTo construct a circle on a given diameter, its centre is taken at the diameter'sThe centre of the circle through three non-collinear points is where these lines meet