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Let S = ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ = − − + ∈ 1 r 1 x r 1 y : R ) y , x ( 2 2 2 ; r ≠ ±1. Then S represents

1. an ellipse whose eccentricity is 1 r 1 + , where r > 1
2. a hyperbola whose eccentricity is 1 r 2 + , when 0 < r < 1
3. a hyperbola whose eccentricity is r 1 2 − , when 0 < r < 1
4. an ellipse whose eccentricity is 1 r 2 + , when r > 1

Correct answer: an ellipse whose eccentricity is 1 r 2 + , when r > 1

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