Question
The auxiliary circle of a family of ellipses passes through the origin and makes intercepts of 8 unit on the x-and y-axis respectively. If the eccentricity of all such ellipses is 1./2 then find the locus of the focus.
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Question Text | The auxiliary circle of a family of ellipses passes through the origin and makes intercepts of 8 unit on the x-and y-axis respectively. If the eccentricity of all such ellipses is 1./2 then find the locus of the focus. |