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The ellipse x^(2)4y^(2)=4 is inscribed i...

The ellipse `x^(2)4y^(2)=4` is inscribed in a rectangle aligned with the coordinates axes, whicj in turn is inscribed in another ellipse that passes through the point (0,0). Then, the equation of the ellipse is

A

`x^(2) + 12y^(2) = 16`

B

`4x^(2) + 48y^(2) = 48`

C

`4x^(2) + 64y^(2) = 48`

D

`x^(2) + 16y^(2) = 16`

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A
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