WHAT IS CONJUGATE AND RECTANGULAR OR EQUILATERAL HYPERBOLA- CONCEPT WITH EXAMPLE
CONJUGATE AND RECTANGULAR OR EQUILATERAL HYPERBOLA
CONJUGATE HYPERBOLA :
Two hyperbolas such that transverse & conjugate axes of one hyperbola are respectively the conjugate & the
transverse axes of the other are called Conjugate Hyperbolas of each other i.e
(ii). The foci of a hyperbola and its conjugate are concyclic and form the vertices of a square.
(iii) .Two hyperbolas are said to be similar if they have the same eccentricity.
The eccentricity of the conjugate hyperbola to the hyperbola
eccentricity e =
RECTANGULAR OR EQUILATERAL HYPERBOLA :
The particular kind of hyperbola in which the lengths of the transverse & conjugate axis are equal is called an
Equilateral Hyperbola. Note that the eccentricity of the rectangular hyperbola is 2 and the length of it's latus rectum
is equal to it's transverse or conjugate axis.