Let \( S \) and \( S^{\prime} \) be two foci of the ellipse \( \fra...

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Let \( S \) and \( S^{\prime} \) be two foci of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \). If a circle
P described on \( S S^{\prime} \) as diameter intersects the ellipse at real and

W distinct points, then the eccentricity \( e \) of the ellipse satisfies
(1) \( e=1 / \sqrt{2} \)
(2) \( e \in(1 / \sqrt{2}, 1) \)
(3) \( e \in(0,1 / \sqrt{2}) \)
(4) none of these
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