Parabola:
A conic section is the section cut off from the right circular cone by a plane in several ways. The shape of the section depends upon position of cutting plane.
1. If plane passes through axis of the cone, the curve of intersection will be a pair of straight lines.
2. If plane is perpendicular to axis of the cone, the curve of intersection will be a circle.
3. If plane is parallel to generator of the cone (let, PQ), the curve of intersection will be a parabola.
4. If plane cuts the axis of cone at an angle a (0 < a < p/2), the curve of intersection will be an ellipse.
5. If plane is parallel to the axis of the cone, the curve of intersection will be a hyperbola.
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