what is hyperbola
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve, lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola is a curve where the distances of any point from: a fixed point (the focus), and. a fixed straight line (the directrix) are always in the same ratio. This ratio is called the eccentricity, and for a hyperbola it is always greater than 1.