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Question 220039
JEE Mathematics · Medium

Quadratic Equations and Inequalities: Root inequality MCQ

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Root inequalityMediumQuestion 220039

Question

If one root of x² − kx + k = 0 is greater than 2 and the other less than 2, then k satisfies:
  1. A
    k < 4
  2. B
    k > 4
    Correct
  3. C
    k = 4
  4. D
    k < 0

Correct answer

k > 4

Explanation

Roots straddle 2 ⟺ f(2) < 0. f(2) = 4 − 2k + k = 4 − k < 0 → k > 4.

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