If \( e_{1} \) and \( e_{2} \) are the eccentricities of the ellips...

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If \( e_{1} \) and \( e_{2} \) are the eccentricities of the ellipse
\( \mathrm{P}^{8} \) \( \frac{x^{2}}{18}+\frac{y^{2}}{4}=1 \), and the hyperbola, \( \quad \frac{x^{2}}{9}-\frac{y^{2}}{4}=1 \)

W respectively and \( \left(e_{1}, e_{2}\right) \) is a point on the ellipse, \( 15 x^{2}+3 y^{2}=k \), then \( k \) is equal to
(1) 17
(2) 16
(3) 15
(4) 14
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