Complex Numbers — JEE Main Previous Year Questions

How many JEE Main questions come from Complex Numbers?

Complex Numbers has contributed 182 questions to Joint Entrance Examination (Main) papers between 2016 and 2026 — an average of about 17 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 182 questions carries a written, step-by-step solution, and each is tagged to Complex Numbers within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Complex Numbers questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 182 Complex Numbers questions (with full written solutions) are available in practice.

1. Question 1 · JEE Main 2019

   Let z 1 and z 2 be two complex numbers satisfying | z 1 | = 9 and | z 2 – 3 – 4i | = 4. Then the minimum value of | z 1 – z 2 | is :
   1. (A)0
   2. (B)1
   3. (C)2
   4. (D)$$\sqrt{2}$$
   Show answerAnswer

   Answer: (A) 0

2. Question 2 · JEE Main 2026

   If $z=\frac{\sqrt{3}}{2}+\frac{i}{2},i=\sqrt{-1}$, then ${\left(z^{201}-i\right)}^8$ is equal to
   1. (A)1
   2. (B)0
   3. (C)-1
   4. (D)256
   Show answerAnswer

   Answer: (D) 256

3. Question 3 · JEE Main 2026

   Let $S=\left\{z\in \mathbb{C}:z^2+\sqrt{6}iz-3=0\right\}$. Then $\sum _{z\in S}{z}^8$ is equal to :
   1. (A)162
   2. (B)184
   3. (C)262
   4. (D)324
   Show answerAnswer

   Answer: (A) 162

4. Question 4 · JEE Main 2026

   Let $z$ be a complex number such that $|z-6|=5$ and $|z+2-6i|=5$. Then the value of $z^3+3z^2-15z+141$ is equal to :
   1. (A)61
   2. (B)37
   3. (C)42
   4. (D)50
   Show answerAnswer

   Answer: (D) 50

5. Question 5 · JEE Main 2026

   Let $\mathrm{S}=\left\{z\in \mathbb{C}:4z^2+\bar{z}=0\right\}$. Then $\sum _{z\in \mathrm{S}}|z{|}^2$ is equal to:
   1. (A)$\frac{5}{64}$
   2. (B)$\frac{1}{16}$
   3. (C)$\frac{7}{64}$
   4. (D)$\frac{3}{16}$
   Show answerAnswer

   Answer: (D) $\frac{3}{16}$

Complex Numbers questions by year

FAQs

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