Point

x^2 + y^2 = 0
Circle

x^2 + y^2 = r^2
Ellipse

x^2 / a^2 + y^2 / b^2 = 1
Ellipse

x^2 / b^2 + y^2 / a^2 = 1
Hyperbola

x^2 / a^2 - y^2 / b^2 = 1
Parabola

4px = y^2
Parabola

4py = x^2
Hyperbola

y^2 / a^2 - x^2 / b^2 = 1
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