A **conic section** is defined as a locus of a point in a plane which moves in such a way, that the ratio of its distances from a fixed point (called the focus of a conic) and from a fixed line (called directrix of a conic) is a constant (called eccentricity of conic).

- i.e

## Equation of a Conic

Hence, locus of moving point *P*(*h*,*k*), i.e. equation of conic is given by:

The possible conic sections are: