If \( e_{1} \) and \( e_{2} \) are the eccentricities of the conic sections \( 16 x^{2}+9 y^{2}=...

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If \( e_{1} \) and \( e_{2} \) are the eccentricities of the conic sections \( 16 x^{2}+9 y^{2}=144 \) and \( 9 x^{2}-16 y^{2}=144 \), then
(a) \( e_{1}^{2}-e_{2}^{2}=1 \)
(b) \( e_{1}^{2}+e_{2}^{2}3 \)
(c) \( e_{1}^{2}+e_{2}^{2}=3 \)
(d) \( e_{1}^{2}+e_{2}^{2}3 \)
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