What is the definition of a hyperbola?

a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.

Or

the pair of hyperbolas formed by the intersection of a plane with two equal cones on opposites of the same vertex.

Step-by-step explanation:

Alan P. Feb 3, 2016. In the general equation of a hyperbola. a represents the distance from the vertex to the center. b represents the distance perpendicular to the transverse axis from the vertex to the asymptote line (s).