If $g^{2} + f^{2} = c$, then the equations $x^{2} + y^{2} + 2gx + 2fy + c = 0$ will represent

Question

Dr. Abubacker · Accepted Answer

(d)
Given that, $x^{2} + y^{2} + 2gx + 2fy + c = 0$
and $g^{2} + f^{2} = c$
$	herefore Radius\ of\ circle = \sqrt{g^{2} + f^{2} - c}$
$\Rightarrow Radius = 0\ \ (\because g^{2} + f^{2} = c)$
Thus given equation represents a circles of radius 0

Q. If $g^{2} + f^{2} = c$, then the equations $x^{2} + y^{2} + 2gx + 2fy + c = 0$ will represent

Explanation

Reviewed by Dr. Abubacker

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