Q.
The curve with parametric equation $x = e^{t} + e^{- t}\ y = e^{t} - {\ e}^{- t}$ and is
A) A circle
B) An ellipse
C) A hyperbola
D) A parabola
Explanation
(c)
Given, parametric equations are $x = e^{t} + e^{- t}$ and$\ y = e^{t}\ –e^{- t}$
Now, on squaring and then on subtracting, we get
$x^{2} - y^{2} = 4$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.