Answer:
A special form of the hyperbola is called Rectangular Hyperbola.
Step-by-step explanation:
It is also called as equilateral hyperbola.This special case of hyperbola was first identified by Menaechmus. In this this special case was xy = ab where the asymptotes are at right angles. The angle between asymptotes of the hyperbola [tex]\frac{x^2}{a^2} -\frac{y^2}[b^2} = 1,[/tex] is [tex]2 tan^{-1} (\frac{b}{a})[/tex] .Also the length of transverse axis = length of conjugate axis. Length of latus rectum of rectangular hyperbola is the same as the transverse or conjugate axis.The asymptotes of rectangular hyperbola are y = ± x.
