If function f and g are a continuous function of on an interval I then and x=f(t) and y=g(t) are parametric equations, and t is here known as a parameter,
The set of points (x,y) obtained as t C varies over Interval I is a graph.
Taken together the parametric equation and graph is called plane curve C
The graph of the curve C is the set of points (x,y) obtained as t varies in the interval I.
When We use the third variable for determining the point x and y then the third variable is known as a parameter of x and y when it is written as x as a function of t and y as a function of t then equation obtained is known as a parametric equation.