In the standard ellipse, the lines joining the ends of \( \mathrm{P...

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In the standard ellipse, the lines joining the ends of
\( \mathrm{P}^{15} \) the minor axis to one focus are at right angles. The

W distance between the focus and the nearer vertex is \( \sqrt{10}-\sqrt{5} \). The equation of the ellipse:
(1) \( \frac{x^{2}}{36}+\frac{y^{2}}{18}=1 \)
(2) \( \frac{x^{2}}{40}+\frac{y^{2}}{20}=1 \)
(3) \( \frac{x^{2}}{20}+\frac{y^{2}}{10}=1 \)
(4) \( \frac{x^{2}}{10}+\frac{y^{2}}{5}=1 \)
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