A parabola is the set of all points that are equidistant from a fixed point and a fixed line in a plane. the fixed line is called the directrix and the fixed point is called the focus of the parabola.standard equation of parabola=
 y^{2}=4ax if x=-a
 y^{2} =-4ax
 if x=a
 x^{2} =4ay if y=-a
 x^{2} = -4ay if y=a
an ellipse is the set of all points in a plane that the sum of whose distances from 2 fixed points is constant. the 2 fixed points are called foci. standard equation is
 x^{2} / a^{2} + y^{2} / b^{2} =1 if major axis is x-axis  x^{2} / b^{2} + y^{2} / b^{2} =1 if the major axis is y- axis