Question

What does hyperbola mean?

Answer 1

Definition of hyperbola:

The hyperbola is the set of points in a plane, the difference of whose distance from the two fixed points (foci) is a constant.

It is the symmetrical open curve formed by the intersection of a plane and a double cone.

Standard equation : $\frac{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{a}}^{\mathbf{2}}}\mathbf{-}\frac{{\mathbf{y}}^{\mathbf{2}}}{{\mathbf{b}}^{\mathbf{2}}}\mathbf{=}\mathbf{1}$

Where,

$a=$ Length of the semi-major axis

$b=$ Length of the semi-minor axis.