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JEE Mains 28-July-2022 Shift 2 Solved Paper

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Question : 14

Total: 90

Let the hyperbola H:‌

=1 pass through the point (2√2,−2√2). A parabola is drawn whose focus is same as the focus of H with positive abscissa and the directrix of the parabola passes through the other focus of H. If the length of the latus rectum of the parabola is e times the length of the latus rectum of H, where e is the eccentricity of H, then which of the following points lies on the parabola?

[28-Jul-2022-Shift-2]

(2√3,3√2)
(3√3,−6√2)
(√3,−√6)
(3√6,6√2)

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