JEE Mathematics · Hard

Quadratic Equations and Inequalities: Complex roots MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Complex rootsHardQuestion 220028

Question

For a quadratic with real coefficients, if one root is 2 + 3i, the other root is:
  1. A
    2 − 3i
    Correct
  2. B
    −2 + 3i
  3. C
    2 + 3i
  4. D
    3 + 2i

Correct answer

2 − 3i

Explanation

Complex roots of real-coefficient polynomials come in conjugate pairs. If 2+3i is a root, so is 2−3i.