For $c = 1$, we have $x^2 - y^2 = 1$, which is a hyperbola with asymptotes $y = \pm x$.
For $c = -1$, we have $x^2 - y^2 = -1$, which is a hyperbola with asymptotes $y = \pm x$ and rotated $90^\circ$ from the previous one.
For $c = 2$, we have $x^2 - y^2 =
Show more…