Question
If are the eccentric angles of the extermities of a focal chord through S(ae, 0) of an ellipse then prove that the eccentricity of the ellpise is .
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Question 2
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. Question Text | If are the eccentric angles of the extermities of a focal chord through S(ae, 0) of an ellipse then prove that the eccentricity of the ellpise is . |