Complex Numbers — JEE Advanced Previous Year Questions

How many JEE Advanced questions come from Complex Numbers?

Complex Numbers has contributed 22 questions to Joint Entrance Examination (Advanced) papers between 2016 and 2026 — an average of about 2 questions a year. That count is measured from EByAi’s bank of 18,502 JEE Advanced questions, not estimated from a syllabus. Every one of the 22 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 Advanced papers

This is a real question from the bank — exactly as asked, with the answer one tap away. All 22 Complex Numbers questions (with full written solutions) are available in practice.

1. Question 1 · JEE Advanced 2022

   Let $\bar{z}$ denote the complex conjugate of a complex number $z$. If $z$ is a non-zero complex number for which both real and imaginary parts of $(\bar{z}{)}^2+\frac{1}{z^2}$ are integers, then which of the following is/are possible value(s) of $|z|$ ?
   1. (A)${\left(\frac{43+3\sqrt{205}}{2}\right)}^{\frac{1}{4}}$
   2. (B)${\left(\frac{7+\sqrt{33}}{4}\right)}^{\frac{1}{4}}$
   3. (C)${\left(\frac{9+\sqrt{65}}{4}\right)}^{\frac{1}{4}}$
   4. (D)${\left(\frac{7+\sqrt{13}}{6}\right)}^{\frac{1}{4}}$
   Show answerAnswer

   Answer: (A) ${\left(\frac{43+3\sqrt{205}}{2}\right)}^{\frac{1}{4}}$

Complex Numbers questions by year

FAQs

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