Question

What are the parametric coordinates of a point on rectangular hyperbola $x^2-y^2=a^2$

• A. $(a\sin \theta ,a\cos \theta )$
• B. $(a\sec \theta ,a\tan \theta )$
• C. $(a\tan \theta ,a\sec \theta )$
• D. $(a\sec \theta ,a\cos \theta )$

Answer 1

The correct option is B $(a\sec \theta ,a\tan \theta )$

The parametric coordinates of a point $P\left(\theta \right)$ on rectangular hyperbola
$x^2-y^2=a^2$
is represented by $(a\sec \theta ,a\tan \theta )$