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Let the eccentricity of the hyperbola (x...

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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The correct Answer is:
A
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