The name of the conic represent by the equation $x^{2} + y^{2} - 2 y + 20 x + 10 = 0$ is

a hyperbola

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an ellipse

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a parabola

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circle

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Solution

The correct option is A circle
For a standard second degree equation $a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0$
to be a circle $a = b h = 0$
Here $a = b = 1 h = 0$
So The given equation is Circle

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