JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

The function

f\left( x \right) = {x^3} + a{x^2} + bx + c,{a^2} \le 3b

has

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Correct option: C

No extreme value

Option C (No extreme value) is correct because the condition

a^2 \le 3b

implies that the derivative has no real roots, hence no extreme values.

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