The equation ax 2- by 2-2 hxy -2 g x -2 fy - c -0 will represent a circle- ifA- a-b-0 and c-0B- a-b - 0 and h-0C- f - g and c -0D- f - g and h -0

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Definition of circle

The equation ...

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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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a = b ≠ 0 and h = 0

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f = g and c = 0

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

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

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