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An ellipse is drawn by taking a diameter...

An ellipse is drawn by taking a diameter of the circle `(x – 1)^2 + y^2 = 1`, as its semi-minor 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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