An ellipse drawn by taking a diameter of...

An ellipse drawn by taking a diameter of the circle `(x-1)^(2)+y^(2)=1` as its semiminor axis and a diameter of the circle `x^(2)+(y-2)^(2)=4` as its semi-major axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is

A

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

B

`x ^(2) + 4y ^(2) =8`

C

`4x ^(2) + y^(2) =8`

D

`x ^(2) +4y ^(2) =16`

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The correct Answer is:

D

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