An ellipse and a hyperbola have the same centre origin, the same foci and the minor-axis of the ...

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An ellipse and a hyperbola have the same centre origin, the same foci and the minor-axis of the one is the same as the conjugate axis of the other. If \( e_{1}, e_{2} \) be their eccentricities respectively, then find value of \( \frac{1}{e_{1}^{2}}+\frac{1}{e_{2}^{2}} \).
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