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The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

The ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and the hyperbola `(x^(2))/(A^(2))-(y^(2))/(B^(2))=1` are given to be confocal and length of mirror axis of the ellipse is same as the conjugate axis of the hyperbola. If `e_1 and e_2` represents the eccentricities of ellipse and hyperbola respectively, then the value of `e_(1)^(-2)+e_(1)^(-2)` is

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