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Question 220035
JEE Mathematics · Hard

Quadratic Equations and Inequalities: Sign condition MCQ

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Sign conditionHardQuestion 220035

Question

For f(x) = ax² + bx + c with a > 0 and roots α < β, f(x) < 0 for:
  1. A
    x < α or x > β
  2. B
    α < x < β
    Correct
  3. C
    x = α or x = β
  4. D
    All x

Correct answer

α < x < β

Explanation

An upward-opening parabola (a > 0) dips below the x-axis between its roots. So f(x) < 0 for α < x < β.

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