Consider the two functions `f(x)=x^(2)+2bx+1` and `g(x)=2a(x+b)` where the variable x and the constants a and b are real numbers.Each such pair of the constants a and b may be considered as a point `(a b)` in an `ab -` plane.Let S be the set of such points `(a b)` for which the graphs of `y=f(x)` and `y=g(x)` do not intersect (in the `xy-` plane). The area of S is