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

If \( e_{1} \) and \( e_{2} \) are the eccentricities of the ellipse, \( \frac{x^{2}}{18}+\frac{y^{2}}{4}=1 \) and the hyperbola, \( \frac{x^{2}}{9}-\frac{y^{2}}{4}=1 \) respectively and \( \left(\mathrm{e}_{1}, \mathrm{e}_{2}\right) \) is a point on the ellipse, \( 15 \mathrm{x}^{2}+3 \mathrm{y}^{2}=\mathrm{k} \), then \( \mathrm{k} \) is equal to :
(1) 15
(2) 14
(3) 17
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