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Let f(x)=(1+b^(2))x^(2)+2bx+1 and let m(...

Let `f(x)=(1+b^(2))x^(2)+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

`(0,1/2]`

C

`[1/2,1]`

D

`(0,1]`

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The correct Answer is:
D
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