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Let the eccentricity of the hyperbola (...

Let the eccentricity of the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` be reciprocal to that of the ellipse `x^(2)+9y^(2)=9`, then the ratio `a^(2):b^(2)` equals

A

`8:1`

B

`1:8`

C

`9:1`

D

`1:9`

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