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Consider the two functions f(x)=x^(2)+2b...

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

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