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If the foci of a hyperbola are same as t...

If the foci of a hyperbola are same as that of the ellipse `(x^(2))/(9)+(y^(2))/(25)=1` and the eccentricity of the hyperbola is `(15)/(8)` times the eccentricity of the ellipse,then the smaller focal distance of the point `(sqrt(2),(14)/(3)sqrt((2)/(5)))` on the hyperbola,is equal to

A

`7sqrt((2)/(5))-(8)/(3)`

B

`14sqrt((2)/(5))-(16)/(3)`

C

`14sqrt((2)/(5))-(4)/(3)`

D

`7sqrt((2)/(5))+(8)/(3)`

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