Parametric form represents a family of points on the conic which is the role of a parameter.
Further parameter plays the role of a constant and a variable, while cartesian form represents
the locus of a point describing the conic.

(1)Parameterisation denotes the orientation of the curve.
(2) A parametric representation don’t have to be unique.
(3) Note that using parameterisation Always reduces the number of variables at least by one, this means a lot when it comes to solving complicated Systems in Math.