An ellipse having foci at \( (3,3) \) and \( (-4,4) \) and passing ...

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An ellipse having foci at \( (3,3) \) and \( (-4,4) \) and passing through the origin has eccentricity equal to
(1) \( \frac{3}{7} \)
(2) \( \frac{2}{7} \)
(3) \( \frac{5}{7} \)
(4) \( \frac{3}{5} \)
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