- #1

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When z=0

x^2+y^2=1 --> ellipse (well a circle but a circle is an ellipse)

when x=0

y^2-z^2=1 --> hyperbola

when y = 0

x^2-z^2=1 --> hyperbola

How does this affect the graph in 3d? I mean if it is both an ellipse and hyperbola, I can't visualize it geometrically.

Sorry if this is the wrong section