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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)/(sqrt2)` is

A

`(sqrt5)/(3)`

B

`(5)/(sqrt3)`

C

`(5)/(9)`

D

`(2 sqrt2)/(3)`

Text Solution

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The correct Answer is:
D
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