Question

Eccentricity of the rectangular hyperbole is

Answer 1

i.e. the eccentricity of a rectangular hyperbola = √2. In case of rectangular hyperbola a = b i.e., the length of transverse axis = length of conjugate axis. A rectangular hyperbola is also known as an equilateral hyperbola. The asymptotes of rectangular hyperbola are y = ± x.

Answer 2

its answer is under root two   √2 in case of regular hyperbola a=b that is the length of transverse axis is equal to length of conjugate axis.