The equation a x2-b y2-2 h x y-2 g x-2 f y-c-0 will represent a circle- ifA- a-b-0 and c-0B- f - g and h -0C- a-b - 0 and h -0D- f - g and c -0

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General Equation of Circle S=0

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Question

The equation $a x^{2} + b y^{2} + 2 h x y + 2 g x + 2 f y + c = 0$ will represent a circle, if

a = b = 0 and c = 0

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f = g and h = 0

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and h = 0

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f = g and c = 0

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a x^{2} + b y^{2} + c z^{2} + 2 f y z + 2 g x z + 2 h x y + 2 u x + 2 v y + 2 w z + d = 0

{a x}^{2} + 2 h x y + {b y}^{2} + 2 g x + 2 f y + c = 0

a = b

h = 0

a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0,

a = b = h = 1

f \neq g,

a x^{2} + b y^{2} + 2 h x y + 2 g x + 2 f y + c = 0

a x^{2} + b y^{2} + 2 h x y + 2 g x + 2 f y + c = 0

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