Jump to a section

Mathematics - Complex Number

Practise 53 COMEDK previous year questions on Complex Number, compiled from papers spanning 2012 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty COMEDK tests.

Complex Number has been asked in 15 of the 15 years of COMEDK papers analysed (2012–2026), with 53 questions in all. 51% of them were easy, 38% moderate and 11% tough. Most of its questions came from 2023, with 7 questions that year. In the last three years (2024–2026) it had 12 questions across 10 papers, about 1.2 per paper.

The chapter's 7 topics are not weighted equally: Conjugate, modulus and argument (16 questions, 30%), Algebra of complex numbers (13 questions, 25%), and Cube Root of Unity (9 questions, 17%) have been asked the most. Over the last five years the most frequent topics have been Algebra of complex numbers (8), Conjugate, modulus and argument (6), and Power of iota (6). Conjugate, modulus and argument has produced the most tough questions (2).

  1. 1The conjugate of09 May, 2026 (S1)Algebra of complex numbers
  2. 2The conjugate of the multiplicative inverse of the complex number is:09 May, 2026 (S2)Algebra of complex numbers
  3. 3The value of , where , set of natural numbers is25 May, 2025 (Shift)Power of iota
  4. 4If then10 May, 2025 (S1)Algebra of complex numbers
  5. 5The complex number lies in10 May, 2025 (S2)Algebra of complex numbers
  6. 6Given that is a real number and where , then the possible value of is10 May, 2025 (S3)Conjugate, modulus and argument
  7. 7Preview not available - open to view this question.2024 (Afternoon Shift)Power of iota
  8. 8Preview not available - open to view this question.2024 (Evening Shift)Algebra of complex numbers
  9. 9The argument of is2024 (Memory Based)Conjugate, modulus and argument
  10. 10Evaluate (where2024 (Memory Based)Power of iota
  11. 11If then the value of is2024 (Memory Based)Algebra of complex numbers
  12. 12Preview not available - open to view this question.2024 (Morning Shift)Algebra of complex numbers
  13. 13If the conjugate of be , then2023 (Evening Shift)Conjugate, modulus and argument
  14. 14If , then the argument of is equal to2023 (Memory Based)Conjugate, modulus and argument
  15. 15If and is a positive integer, then is equal to2023 (Memory Based)Power of iota
  16. 16If , where and are real, then the ordered pair is2023 (Memory Based)Algebra of complex numbers
  17. 17If and is a positive integer, then is equal to2023 (Morning Shift)Power of iota
  18. 18If , then the argument of is equal to2023 (Morning Shift)Conjugate, modulus and argument
  19. 19If , where and are real, then the ordered pair is2023 (Morning Shift)De Moivres Theorem
  20. 20The argument of is2022Conjugate, modulus and argument
  21. 21Evaluate2022Power of iota
  22. 22is equal to2022Polar and Euler Form
  23. 23What is the argument of the complex number , where ?2021Conjugate, modulus and argument
  24. 24Evaluate .2021Power of iota
  25. 25If , then is equal to2021Cube Root of Unity
  26. 26The conjugate of the complex number is2020Conjugate, modulus and argument
  27. 27The imaginary part of is2020Polar and Euler Form
  28. 28The amplitude of is2020Conjugate, modulus and argument
  29. 29If are the cube roots of unity, then is equal io2020Cube Root of Unity
  30. 30If is a complex number satisfying the equation , then is equal to2019Cube Root of Unity
  31. 31If is a complex number such that , then2019Conjugate, modulus and argument
  32. 32The value of is2019De Moivres Theorem
  33. 33The argument of the complex number is2018Conjugate, modulus and argument
  34. 34The maximum value of , such that is2018Power of iota
  35. 35The value of is2018Algebra of complex numbers
  36. 36All complex number which satisfy the equation lie on the2018Locus Based on Distance Formula
  37. 37If , then2017Polar and Euler Form
  38. 38If , then modulus of the complex number is equal to2017Conjugate, modulus and argument
  39. 39The modulus of is2017Conjugate, modulus and argument
  40. 40If are real numbers and is a complex cube root of unity such that , then2017Cube Root of Unity
  41. 41If the cube roots of unity are , then the roots of the equation are2017Cube Root of Unity
  42. 42The complex number , when represented in the Argand diagram lies2016Algebra of complex numbers
  43. 43If , then the value of2016Cube Root of Unity
  44. 44The modulus and amplitude of are respectively2016Polar and Euler Form
  45. 45Amplitude of the complex number is2015Conjugate, modulus and argument
  46. 46If the conjugate of is , then2015Conjugate, modulus and argument
  47. 47If , then has the value2014Algebra of complex numbers
  48. 48If a complex number lies in the III quadrant. Find the quadrant in which its conjugate lies.2014Conjugate, modulus and argument
  49. 49If is2013Cube Root of Unity
  50. 50If are the cube roots of unity, then is equal to2012Cube Root of Unity

Frequently Asked Questions

1.How many questions are available for Complex Number?

This chapter includes 53 questions compiled from COMEDK papers spanning 2012 to 2026.

2.Are these questions only from COMEDK, or from other exams too?

These are COMEDK questions specifically for the Complex Number chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Complex Number an important chapter for COMEDK Mathematics?

Complex Number has appeared in 15 of the 15 years of COMEDK papers covered here, with 53 questions across 24 papers - about 2 per paper it appears in.

4.What is the difficulty level of Complex Number questions in COMEDK?

Of the 53 questions analysed for this chapter, 51% are easy, 38% moderate and 11% tough. 2023 had the most, with 7 questions.

5.Which topics in Complex Number should I focus on?

These topics have carried the most weightage in Complex Number:

  • Conjugate, modulus and argument - 16 questions (30%)
  • Algebra of complex numbers - 13 questions (25%)
  • Cube Root of Unity - 9 questions (17%)
  • Conjugate, modulus and argument has produced the most tough questions (2).
6.Is Complex Number's weightage in COMEDK going up or down?

Across all 24 papers analysed, Complex Number has averaged about 2.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.