Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Quadratic Equations and Inequalities/
Question 220021
JEE Mathematics · Hard

Quadratic Equations and Inequalities: Quadratic inequality parameter MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Quadratic inequality parameterHardQuestion 220021

Question

x² − (a+b)x + ab < 0 where a < b. Solution:
  1. A
    a < x < b
    Correct
  2. B
    x < a or x > b
  3. C
    x < 0
  4. D
    a ≤ x ≤ b

Correct answer

a < x < b

Explanation

x² − (a+b)x + ab = (x−a)(x−b). Since a < b, this is negative between the roots: a < x < b.

Review Quadratic Equations and Inequalities notesStart timed chapter practice