An ellipse is drawn by taking a diameter of thec circle (x - 1)² + y² = 1 as its semi-minor axis and a diameter of the circle x² + (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:

Coordinate Geometry: JEE Main 2012 Mathematics question

JEE Main 2012 · Annual, Paper 1 · Q3746

JEE Main 2012Annual, Paper 1MathematicsMediumCoordinate Geometry478× since 2002

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 :

JEE Main 2012 · Annual, Paper 1 · Q3746

JEE Main 2012Annual, Paper 1MathematicsMediumCoordinate Geometry478× since 2002

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 :