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An ellipse is drawn by taking a diameter of the circle {({x}{}

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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

Name: Video solution 1: An ellipse is drawn by taking a diameter of the circle (x1)2+y2=1 as its semiminor axis and a diameter of the circle x2+(y2)2=4as 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
Uploaded: 2021-01-01T18:41:02.000Z
Duration: 2 min
Description: Video solution 1: An ellipse is drawn by taking a diameter of the circle (x1)2+y2=1 as its semiminor axis and a diameter of the circle x2+(y2)2=4as 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

4 x^{2} + y^{2} = 4

x^{2} + 4 y^{2} = 8

4 x^{2} + y^{2} = 8

x^{2} + 4 y^{2} = 16

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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

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Question Text	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
Answer Type	Video solution: 1
Upvotes	150

An ellipse is drawn by taking a diameter of the circle (x1)2+y2=1 as its semiminor axis and a diameter of the circle x2+(y2)2=4as 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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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