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The line y = x intersects the hyperbola ...

The line y = x intersects the hyperbola `(x^(2))/(9) -(y^(2))/(25) = 1 ` at the points P and Q . The eccentricity of ellipse with PQ as major axis and minor axis of length `(5)/(sqrt(2))` is _

A

`(sqrt(5))/(3)`

B

`(5)/(sqrt(3))`

C

`(2sqrt(2))/3`

D

`(25)/(9)`

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CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2013)
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