Question
An ellipse is drawn by taking a diameter of the circle (x–1)2 + y2 = 1 as its semiminor axis and a diameter of the circle x2 + (y – 2)2 = 4 as its semi-major axis. If the centre of the ellipse is the origin and its axes are the coordinate axes, then the equation of the ellipse is
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4x2+ y2 = 4
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x2 +4y2 =8
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4x2 +y2 =8
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x2+4y2 =16
Solution
D.
x2+4y2 =16
The equation of the ellipse.
Diameter of circle (x-1)2 +y2 = 1 is 2 and that of circle x2 +(y-2)2 = 4 is 4 units.
⇒ Semi-minor axis of ellipse, b =2 units are semi major axis of ellipse, a 4 unite
Hence, the equation of the ellipse is 
