In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse.

- Identification of conics from general formula: $ax^2+by^2+2gx+2fy+2hxy+c=0$

$i. ab-h^2=0, Parabola$

$ii. ab-h^2>0, Ellipse$

$ii. ab-h^2<0, Hyperbola$

$iv. a=b,h=0, Circle$

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