The line y=x intersects the hyperbola (x...

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

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

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

`(5)/(9)`

`(25)/(9)`

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