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Ellipse

Section: Mathematics

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Question : 19

Total: 25

An ellipse intersects the hyperbola 2x2–2y2 = 1 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. If the axes of the ellipse are along the coordinates axes, then

[JEE Adv 2009 P2]

equation of ellipse is x2+2y2 = 2.
the foci of ellipse are (± 1, 0).
equation of ellipse is x2+2y2 = 4.
the foci of ellipse are (±√2,0).

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