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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)  and x = e^t +e^(−t)  does this parametric equation resembles   circle or ellipse or hyperbola or parabola and why?
y=etetandx=et+etdoesthisparametricequationresemblescircleorellipseorhyperbolaorparabolaandwhy?
Answered by mr W last updated on 15/May/24
x^2 −y^2 =4  (x^2 /2^2 )−(y^2 /2^2 )=1 ⇒hyperbola (branch x>0)
x2y2=4x222y222=1hyperbola(branchx>0)
Commented by NasaSara last updated on 15/May/24
thank you
thankyou

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