JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)=x^4+a x^3+3 x^2+b x+1, a, b \in R

. If

f(x) \geq 0, \forall x \in R

, then the maximum value of

a^2+b^2

is equal to

View answer and explanation

Correct option: B

Option B (12) is correct because the condition

f(x) \geq 0

implies that

a^2 + b^2

must be less than or equal to 12, making 12 the maximum value.

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