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KVPY SX SB Exam 2018 Question Paper

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Question : 19

Total: 120

Let x2=4ky,k>0, be a parabola with vertex A. Let BC be its latus rectum. An ellipse with center on BC touches the parabola at A, and cuts BC at points D and E such that BD = DE = EC (B, D, E, C in that order).
The eccentricity of the ellipse is

1
√2
1
√3
√5
3
√3
2

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