A normal to the hyperbola x^2/4-y^2/1 ha...

A normal to the hyperbola `x^2/4-y^2/1` has equal intercepts on the positive x- and y-axes. If this normal touches the ellipse `x^2/a^2+y^2/b^2=1` then `a^2 + b^2` is equal to

A

5

B

25

C

16

D

none of these

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The correct Answer is:

D

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