Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Complex Numbers/
Question 230019
JEE Mathematics · Hard

Complex Numbers: Roots MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
RootsHardQuestion 230019

Question

The fourth roots of 16 are:
  1. A
    ±2, ±2i
    Correct
  2. B
    2, −2, 2i only
  3. C
    ±2i only
  4. D
    4, −4, 4i, −4i

Correct answer

±2, ±2i

Explanation

We need z⁴ = 16. |z|⁴ = 16 → |z| = 2. Arguments: 2kπ/4 for k = 0,1,2,3 → 0, π/2, π, 3π/2. So roots: 2, 2i, −2, −2i.

Review Complex Numbers notesStart timed chapter practice