A hyperbola for which the asymptotes are perpendicular, also called an equilateral hyperbola or right hyperbola. This occurs when the semimajor and semiminor axes are equal. This corresponds to taking , giving eccentricity .
What is the equation of a rectangular hyperbola?
The rectangular hyperbola then has equation of the form xy=c 2. For example, y=1/x is a rectangular hyperbola. For xy=c 2, it is customary to take c>0 and to use, as parametric equations, x=ct, y=c/t (t ≠ 0).
Which one is rectangular hyperbola function?
Rectangular hyperbola: This rectangular hyperbola has its center at the origin, and is also the graph of the function f(x)=1x f ( x ) = 1 x .