Question: Show that the equation r = ep/(1 + e cos ) where e and p are constants, represents an ellipse where 0 < e <

Show that the equation r = ep/(1 + e cos θ) where e and p are constants, represents an ellipse where 0 < e < 1, a parabola where e = 1 and a hyperbola where e > 1, the origin of the coordinate system being at a focus of the conic concerned.

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