JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1

Let

f(x)=\left(1+b^2\right) x^2+2 b x+1

. Let

m(b)

be the minimum value of

f(x)

(that is least value). As

b

varies, the range of

m(b)

View answer and explanation

Correct option: D

(0,1]

Option D ((0,1]) is correct because the range of the minimum value function m(b) is calculated using calculus and analysis of the function's behavior.

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