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JEE Math Practice Question

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

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