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Question 220036
JEE Mathematics · Hard

Quadratic Equations and Inequalities: Maximum value MCQ

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Maximum valueHardQuestion 220036

Question

The maximum value of 4x − x² is:
  1. A
    2
  2. B
    4
    Correct
  3. C
    8
  4. D
    16

Correct answer

4

Explanation

f(x) = −x² + 4x = −(x²−4x) = −(x−2)² + 4. Maximum = 4 at x = 2.

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