Let f(x) = (1 + b2) x2 + 2bx + 1 and let m(b) be the minimum value of f(x). As b varies, the range of m(b) is : (A) [0, 1] (B) 0, 2 (C) (D) (0, 1) (I.I.T. (Screening) 2001)
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