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).
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: