Hyperbola and Parabola

Hyperbola:

A hyperbola is the set of all points in the plane, the difference of whose distances from two fixed distinct points is a given positive constant that is less than the distance between the fixed points.

The locus of a point from a fixed point is at a constant ratio and it is greater than one of its distance from a fixed line is called a Hyperbola.

Standard form of a Hyperbola

x²/a² – y²/b² = 1

Parabola:

A parabola is a conic section with set of all points in the plane which are equidistant from a fixed line and a fixed point not on the line. The line is called directrix of the parabola.

General equation of Parabola.

y² = 4ax

To be continued........................................