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The curve defined by sqrt((x)/(a))+sqrt(...

The curve defined by `sqrt((x)/(a))+sqrt((y)/(b))=1` gives a part of parabola bounded by rectangle `0lexlea,0leyleb`. That has x - axis as tangent at A(a,0) and y- axis as tangent at B(0.b). On the basis of above information , answer the following questions :
The focus of the parabola divides AB in ratio

A

a : b

B

b : a

C

`a^(2) : b^(2)`

D

`b^(2) : a^(2)`

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The correct Answer is:
C
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