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A series of concentric ellipse E_1,E_2,E_3,…,E_n is constructed as follows: Ellipse E_n touches the extremities of the major axis of E_(n-1) and have its focii at the extremities of the minor axis of E_(n-1). If eccentricity of ellipse E_n is e_n, then the locus of (e_(n)^(2),e_(n-1)^(2)) is |
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Answer» a parabola |
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