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The equation (y^2)/(1+r)-(x^2)/(1-r)=1 ...

The equation `(y^2)/(1+r)-(x^2)/(1-r)=1` (a) represents a hyperbola of eccentricity equal to `(2)/(sqrt(r+1))` if `r in(0,1)` (b) represents a hyperbola of eccentricity equal to `sqrt((1-r)/(1+r)` if `rin(0,1)` (c) represents a ellipse of eccentricity equal to `sqrt((2)/(r+1))` if `rgt1` (d) represents a ellipse of eccentricity equal to `sqrt((r+1)/(2))` if `rgt1`

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