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An ellipse is 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 the origin and its axes are the coordinate axes, then the equation of the ellipse is

Options

  1. A4 x^2+y^2=4
  2. Bx^2+4 y^2=8
  3. C4 x^2+y^2=8
  4. Dx^2+4 y^2=16

Correct answer

D. x^2+4 y^2=16

Step-by-step solution

Semi minor axis b=2 Semi major axis a=4 Equation of ellipse = x^2 a^2 + y^2 b^2 =1 x^2 16 + y^2 4 =1 x^2+4 y^2=16 .

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