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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 the reciprocal to that of the ellipse `x^(2)+4y^(2)=4`. If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is

A

`(2,0)`

B

`(0,2)`

C

`(3,0)`

D

`(0,3)`

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The correct Answer is:
A
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