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)`
