Question

What is the distance between centre and vertex ofa hyperbole

Answer 1

Hyperbola is a curve on the plane that doesn't touch the center and has two branches. It is formed by the intersection of plane on the halves of a right circular cone whose angle is parallel to the axis of the cone.
The equation for hyperbola is,

Where, 
(x0,y0) are the center points.
a is the semi-major axis.
b is the semi-minor axis.

Major Axis is a line that passes through the center, vertices and focus of the hyperbola. The length of the major axis is 2a.
The equation of the major axis is,

Minor Axis is a line perpendicular to the major axis and passes through the center of the hyperbola. The length of the minor axis is 2b.