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Ellipse question

2012 · Shift 0 · Q37
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Ellipse question

2012 · Shift 0 · Q37

JEE MainMathematicsEllipseMCQ+4 / −1
An ellipse is drawn by taking a diameter of thec circle (x−1)2+y2=1{\left( {x - 1} \right)^2} + {y^2} = 1(x−1)2+y2=1 as its semi-minor axis and a diameter of the circle x2+(y−2)2=4{x^2} + {\left( {y - 2} \right)^2} = 4x2+(y−2)2=4 is 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. A
    4x2+y2=44{x^2} + {y^2} = 44x2+y2=4
  2. B
    x2+4y2=8{x^2} + 4{y^2} = 8x2+4y2=8
  3. C
    4x2+y2=84{x^2} + {y^2} = 84x2+y2=8
  4. D
    x2+4y2=16{x^2} + 4{y^2} = 16x2+4y2=16
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