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 corrdiantes of focus of parabola is -

Options

A. `((ab)/(a+b),(ab)/(a+b))`
B. `((ab^(2))/(a^(2)+b^(2)),(a^(2)b)/(a^(2)+b^(2)))`
C. `((a^(2)b)/(a^(2)+b^(2)),(ab^(2))/(a^(2)+b^(2)))`
D. `((a^(2)b^(2))/(a^(2)+b^(2)),(a^(2)b^(2))/(a^(2)+b^(2)))`

Answer

B