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## IIT JEE 2006 Paper : MATHEMATICS Section II - Multiple Answers

Each question has one or more than one correct choice among (a), (b), (c) and (d). Write down all the correct choices in alphabetical order without any spaces in between.
For example, if the correct choices are (a), (b) and (d) then simply write in the input box provided:
abd
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 A hyperbola has its transverse and conjugate axes respectively coinciding with the major and minor axes of the ellipse (x 2 / 25) + (y 2 / 16) = 1. If the hyperbola passes through one of the foci of the ellipse and the product of the eccentricity of the hyperbola and that of the ellipse is 1, then (a)(x 2 / 9) − (y 2 / 16) = 1 is the equation of the hyperbola. (b)(x 2 / 16) − (y 2 / 25) = 1 is the equation of the hyperbola. (c) (5, 0) is one of the foci of the hyperbola. (d) (−5√2, 0) is one of the vertices of the hyperbola.

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