y-e-t-e-t-and-x-e-t-e-t-does-this-parametric-equation-resembles-circle-or-ellipse-or-hyperbola-or-parabola-and-why-

Question Number 207435 by NasaSara last updated on 15/May/24

y = e^{t} - e^{- t} a n d x = e^{t} + e^{- t} d o e s t h i s p a r a m e t r i c e q u a t i o n r e s e m b l e s

c i r c l e o r e l l i p s e o r h y p e r b o l a o r p a r a b o l a a n d w h y ?

Answered by mr W last updated on 15/May/24

x^{2} - y^{2} = 4

\frac{x^{2}}{2^{2}} - \frac{y^{2}}{2^{2}} = 1 \Rightarrow h y p e r b o l a (b r a n c h x > 0)

Commented by NasaSara last updated on 15/May/24

t h a n k y o u