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Analytical Geometry

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 Joined: 14 Jul 2012 Post: 1
14 Jul 2012 10:05:04 IST
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ellipse
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Analytical Geometry

the ellipse slides down along coordinate axes, find the length of the arc of locus of centre of the ellipse

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Joined: 29 May 2012
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14 Jul 2012 11:19:20 IST
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if ellipse is sliding down along the coordinate axes, then origin will lie on the director circle of ellipse. take center of ellipse as (h,k) and write the equation of its director circle. then satisfy origin in the equation. you will get the locus of center of ellipse. then using integration. find the length of the arc made by center of ellipse.

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