The Parabola

A Parabola was taking a flight from London to NY
Guy on left: " Are you an Ellipse?"
Parabola: "Yes"
Guy on Right: " Are you a Hyperbola"
Parabola:"Yes"

Flight lands in JFK.
Guy at Airport:" Are you an Ellipse"
Parabola" No"

Explain this curious set of events

ANS : A parabola always lies on a plane!!!!

---------------------------------------------------- Courtesy R.R.R.Ranjiv