An ellipse is drawn by taking a diameter of the circle

Question:

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 :

  1. $x^{2}+4 y^{2}=16$

  2. $4 x^{2}+y^{2}=4$

  3. $x^{2}+4 y^{2}=8$

  4. $4 x^{2}+y^{2}=8$

Correct Option: 1

Solution:

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