The ellipse x^2+""4y^2=""4 is inscribed ...

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

A

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

B

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

C

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

D

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

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The correct Answer is:

B

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