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An ellipse passes through the foci of the hyperbola, `9x^2 - 4y^2 = 36` and its major and minor axes lie along the transverse and conjugate axes of the hyperbola respectively. If the product of eccentricities of the two conics is `1/2,` then which of the following points does not lie on the ellipse?

A

`sqrt(3),0`

B

`sqrt(39)/(2),sqrt(3)`

C

`1/2sqrt(13),sqrt(3)/(2)`

D

`sqrt(13)/(2),sqrt(6)`

Text Solution

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The correct Answer is:
c
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MCGROW HILL PUBLICATION-HYPERBOLA-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
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  12. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

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