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 coordinate axes, which is in turn inscribed in another ellipse that passes through the point (4,0). Then the equation of the ellipse is

A

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

B

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

C

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

D

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

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The correct Answer is:

B

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