Conic Sections: Circle and Parabola

**Conic sections**

Conic sections or conics are the curves that are obtained by intersecting a plane with a double-napped right circular cone. Circles, ellipses, parabolas and hyperbolas are examples of conic sections.

A double-napped cone can be obtained by rotating a line (let us say *m*) about a fixed vertical line (let us say *l*).

Here, the fixed line *l* is called the axis of the cone and *m* is called the generator of the cone. The intersection (V) of *l* and *m* is called the vertex of the cone.

Different conics formed by intersecting a plane and a double-napped cone:

If *θ*_{1}is the angle between the axis and the generator and *θ*_{2}is the angle between the plane and the axis, then, for different conditions of *θ*_{1}and *θ*_{2}, we get different conâ€¦

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