(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need help proving that given two surfaces

any two points of surface X can be joined by a curve in X, while the same is not true of Y.

2. Relevant equations

X={(x,y,z):x^2+y^2-z^2=1} and Y={(x,y,z):x^2+y^2-z^2=-1}

3. The attempt at a solution

I'm not sure where to start. If the problem had said line instead of curve, I think I could do a proof by contradiction, but as it is I don't know.

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# Homework Help: Help with proof

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