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A tangent of the ellipse (x^(2))/(a^(2))...

A tangent of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` is normal to the hyperbola `(x^(2))/(4)-(y^(2))/(1)=1` and it has equal intercepts with positive x and y axes, then the value of `a^(2)+b^(2)` is

A

5

B

25

C

16

D

`(25)/(3)`

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