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Mathematics - Complex Number

Practise 84 MHTCET 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 MHTCET tests.

Complex Number has been asked in 7 of the 17 years of MHTCET papers analysed (2007–2026), with 84 questions in all. 48% of them were easy, 45% moderate and 7% tough. Most of its questions came from 2026, with 16 questions that year. In the last three years (2024–2026) it had 46 questions across 59 papers, about 0.8 per paper.

The chapter's 9 topics are not weighted equally: Algebra of complex numbers (20 questions, 24%), Conjugate, modulus and argument (20 questions, 24%), and Cube Root of Unity (15 questions, 18%) have been asked the most. Over the last five years the most frequent topics have been Conjugate, modulus and argument (19), Algebra of complex numbers (15), and Cube Root of Unity (13). Geometry of Complex Number has produced the most tough questions (2).

  1. 1If is a complex cube root of unity , then the value of is.20 Apr, 2026 (M)Cube Root of Unity
  2. 2If then20 Apr, 2026 (E)Power of iota
  3. 3The smallest positive integer for which is a real number, is ...19 Apr, 2026 (M)De Moivres Theorem
  4. 4Point A rotated about the origin O in the XY-plane through an angle of in the anticlockwise direction to a new position B. The ordinate of p19 Apr, 2026 (E)Rotation Theorem
  5. 5If , where , then one of the values of is...19 Apr, 2026 (E)Power of iota
  6. 6The value of is18 Apr, 2026 (M)Cube Root of Unity
  7. 7If and are the distinct roots of the equation , then the value of is equal to17 Apr, 2026 (M)Cube Root of Unity
  8. 8Preview not available - open to view this question.17 Apr, 2026 (E)De Moivres Theorem
  9. 9If (Where ), then the value of16 Apr, 2026 (M)Conjugate, modulus and argument
  10. 10If is a positive integer, then is equal to .........16 Apr, 2026 (E)De Moivres Theorem
  11. 11If is a complex cube root of unity, then the value of the expression is...15 Apr, 2026 (M)Cube Root of Unity
  12. 12If is a complex cube root of unity, then the value of15 Apr, 2026 (E)Cube Root of Unity
  13. 13The polar form of the complex number , (where ) is13 Apr, 2026 (M)Algebra of complex numbers
  14. 14If , where is a non-real complex cube root of unity, then the value of is...13 Apr, 2026 (E)Cube Root of Unity
  15. 15If , then the value of is11 Apr, 2026 (M)Polar and Euler Form
  16. 16If and are the roots of the equation then11 Apr, 2026 (E)Cube Root of Unity
  17. 17The area of the triangle whose vertices are and is (Where is a complex cube root of unity other than is an imaginary number) ______ sq.units05 May, 2025 (E)Cube Root of Unity
  18. 18If a complex number where is purely real, then the value of is27 Apr, 2025 (E)Conjugate, modulus and argument
  19. 19The modulus of the square root of the complex number (where ) is26 Apr, 2025 (M)Algebra of complex numbers
  20. 20Let z be the complex number such that where , then26 Apr, 2025 (E)Conjugate, modulus and argument
  21. 21Let z be the complex number with and satisfing , where , for some natural number ' n ' then25 Apr, 2025 (M)Algebra of complex numbers
  22. 22A particle starts from the point where . It moves first horizontally away from the origin by 5 units and then vertically upwards parallel to25 Apr, 2025 (E)Geometry of Complex Number
  23. 23Argument of the complex number is23 Apr, 2025 (E)Conjugate, modulus and argument
  24. 24If iy is a complex number, then the equation represents the22 Apr, 2025 (M)Locus Based on Distance Formula
  25. 25will be purely imaginary if22 Apr, 2025 (E)Conjugate, modulus and argument
  26. 26The complex numbers and are conjugate to each other for,21 Apr, 2025 (M)Conjugate, modulus and argument
  27. 27The locus of the points represented by , where is a complex number, is ....21 Apr, 2025 (E)Locus Based on Distance Formula
  28. 28The equation represents a (where is a complex number)20 Apr, 2025 (M)Locus Based on Distance Formula
  29. 29The value of where20 Apr, 2025 (E)De Moivres Theorem
  30. 30Preview not available - open to view this question.19 Apr, 2025 (M)De Moivres Theorem
  31. 31The modulus of the square root of the conjugate of is ....19 Apr, 2025 (M)Conjugate, modulus and argument
  32. 32If is an imaginary number and if it represents a circle then its radius is19 Apr, 2025 (E)Geometry of Complex Number
  33. 33Let be a complex number, where and are integers and . Then the area of the rectangle whose vertices are the roots of the equation is16 May, 2024 (M)Geometry of Complex Number
  34. 34If and , where , then is16 May, 2024 (E)Conjugate, modulus and argument
  35. 35Let be a complex number such that , where , then is equal to15 May, 2024 (M)Conjugate, modulus and argument
  36. 36If the complex number , where , satisfies the condition , then lies on15 May, 2024 (E)Geometry of Complex Number
  37. 37Let be a complex number such that where , then is equal to11 May, 2024 (M)Conjugate, modulus and argument
  38. 38Let , then the value of is11 May, 2024 (E)Algebra of complex numbers
  39. 39If , where , then the value of is10 May, 2024 (M)Cube Root of Unity
  40. 40If , then the value of is09 May, 2024 (M)Conjugate, modulus and argument
  41. 41Let , where and are real numbers, then has the value04 May, 2024 (M)Algebra of complex numbers
  42. 42If , where represents a circle, then centre ' ' and radius ' ' of the circle are04 May, 2024 (E)Geometry of Complex Number
  43. 43If and (where ), then is03 May, 2024 (M)Conjugate, modulus and argument
  44. 44If then where complex cube root of unity03 May, 2024 (E)Cube Root of Unity
  45. 45If and , has magnitude , then is equal to02 May, 2024 (M)Conjugate, modulus and argument
  46. 46If denotes and in Argand's plane and , then the locus of is02 May, 2024 (E)Locus Based on Distance Formula
  47. 47If and , has magnitude , then is14 May, 2023 (M)Conjugate, modulus and argument
  48. 48Let with and it satisfies for some natural number , then14 May, 2023 (E)Algebra of complex numbers
  49. 49The value of , is13 May, 2023 (M)Power of iota
  50. 50If and are conjugates of each other, then the value of is (where )13 May, 2023 (E)Conjugate, modulus and argument

Frequently Asked Questions

1.How many questions are available for Complex Number?

This chapter includes 84 questions compiled from MHTCET papers spanning 2012 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Complex Number has appeared in 7 of the 17 years of MHTCET papers covered here, with 84 questions across 78 papers - about one per paper it appears in.

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

Of the 84 questions analysed for this chapter, 48% are easy, 45% moderate and 7% tough. 2026 had the most, with 16 questions.

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

These topics have carried the most weightage in Complex Number:

  • Algebra of complex numbers - 20 questions (24%)
  • Conjugate, modulus and argument - 20 questions (24%)
  • Cube Root of Unity - 15 questions (18%)
  • Geometry of Complex Number has produced the most tough questions (2).
6.Is Complex Number's weightage in MHTCET going up or down?

Across all 78 papers analysed, Complex Number has averaged about 1.1 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.