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Mathematics - Complex Number

Practise 313 AP EAMCET previous year questions on Complex Number, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty AP EAMCET tests.

Complex Number has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 313 questions in all. 37% of them were easy, 44% moderate and 18% tough. Most of its questions came from 2022, with 38 questions that year. In the last three years (2022–2024) it had 100 questions across 28 papers, about 3.6 per paper.

The chapter's 11 topics are not weighted equally: Conjugate, modulus and argument (78 questions, 25%), Algebra of complex numbers (54 questions, 17%), and Cube Root of Unity (35 questions, 11%) have been asked the most. Conjugate, modulus and argument has also led over the last five years, with 37 questions. Conjugate, modulus and argument has produced the most tough questions (12).

  1. 1If and are two non-zero complex numbers such that and then27 May, 2025 (M)Conjugate, modulus and argument
  2. 2Let satisfy and Statement-I : z is a real number Statement-II : Principal argument of z is . Then27 May, 2025 (M)Complex Number
  3. 3If and are two non-zero complex numbers and are non zero real numbers such that , then is27 May, 2025 (M)Complex Number
  4. 4If a complex number represents a point on the Argand plane and , then the locus of is a26 May, 2025 (M)Locus Based on Distance Formula
  5. 5By taking , if we get , then26 May, 2025 (M)Algebra of complex numbers
  6. 6Two values of are26 May, 2025 (M)De Moivres Theorem
  7. 7If , then26 May, 2025 (E)Algebra of complex numbers
  8. 8represent the vertices of a triangle ABC respectively in the Argand plane. If and , then the area (in sq. units) of that traingle is26 May, 2025 (E)Geometry of Complex Number
  9. 9The product of the four values of the complex number is26 May, 2025 (E)De Moivres Theorem
  10. 10If the point P denotes the complex number in the Argand plane and is purely imaginary number, then the locus of is24 May, 2025 (M)Locus Based on Distance Formula
  11. 11If , then the least possible value of n is24 May, 2025 (M)De Moivres Theorem
  12. 12Preview not available - open to view this question.24 May, 2025 (M)De Moivres Theorem
  13. 13For any two non-zero complex numbers and , if , then23 May, 2025 (M)Conjugate, modulus and argument
  14. 14If are the cube roots of unity, then23 May, 2025 (M)Cube Root of Unity
  15. 15Preview not available - open to view this question.23 May, 2025 (M)De Moivres Theorem
  16. 16If is a complex number such that is purely imaginary and locus of represents a circle with centre and radius , then23 May, 2025 (E)Geometry of Complex Number
  17. 17If the least positive integer n satisfying the equation is p and the least positive integer satisfying the equation is , then23 May, 2025 (E)De Moivres Theorem
  18. 18Sum of the squares of the imaginary roots of the equation is23 May, 2025 (E)Conjugate, modulus and argument
  19. 19The minimum value of is22 May, 2025 (M)Locus Based on Distance Formula
  20. 20If and if the point in the Argand diagram represents , then the locus of the point satisfying the equation is a circle with centre22 May, 2025 (M)Geometry of Complex Number
  21. 21If is a non-real root of , then22 May, 2025 (M)Cube Root of Unity
  22. 22If and , then22 May, 2025 (E)Complex Number
  23. 23If , then the product of all of its roots is22 May, 2025 (E)De Moivres Theorem
  24. 24If , then21 May, 2025 (M)Algebra of complex numbers
  25. 25If and are two of the roots of unity such that the line segment joining them subtends a right angle at the origin then for a positive intege21 May, 2025 (M)nth roots of unity
  26. 26Preview not available - open to view this question.21 May, 2025 (M)De Moivres Theorem
  27. 27If and is any non zero complex number such that , then21 May, 2025 (E)Complex Number
  28. 28If , then21 May, 2025 (E)Complex Number
  29. 29If , then the value of at is21 May, 2025 (E)De Moivres Theorem
  30. 30is a complex cube root of unity and if is a complex number satisfying and , then the set of possible values of is23 May, 2024 (M)Algebra of complex numbers
  31. 31If the roots of the equation are the vertices of a triangle . then that triangle is23 May, 2024 (M)Geometry of Complex Number
  32. 32denotes . If , and then23 May, 2024 (M)Polar and Euler Form
  33. 33If is a complex number such that and , then the area of the region formed by locus of is22 May, 2024 (M)Geometry of Complex Number
  34. 34The locus of the complex number Z such that is22 May, 2024 (M)Locus Based on Distance Formula
  35. 35All the values of are22 May, 2024 (M)Power of iota
  36. 36Preview not available - open to view this question.22 May, 2024 (E)Conjugate, modulus and argument
  37. 37If represents the complex number in the Argand plane and , then the equation of the locus of P is22 May, 2024 (E)Geometry of Complex Number
  38. 38The complex conjugate of is21 May, 2024 (M)Conjugate, modulus and argument
  39. 39If the amplitude of is then the locus of is21 May, 2024 (M)Algebra of complex numbers
  40. 40If is the cube root of unity21 May, 2024 (M)Cube Root of Unity
  41. 41Imaginary part of is21 May, 2024 (E)Algebra of complex numbers
  42. 42The square root of21 May, 2024 (E)Algebra of complex numbers
  43. 43If is an integer and , then21 May, 2024 (E)Polar and Euler Form
  44. 44If the point p represents the comple number in the argand plane and if is a purely imaginary number then the locus of is20 May, 2024 (M)Locus Based on Distance Formula
  45. 45represents20 May, 2024 (M)Locus Based on Distance Formula
  46. 46If an is any complex number such that the argument of is , then20 May, 2024 (E)Geometry of Complex Number
  47. 47If is purely imaginary number, then20 May, 2024 (E)Conjugate, modulus and argument
  48. 48If and then20 May, 2024 (E)Polar and Euler Form
  49. 49If are respectively the least positive and greatest negative integer values of such that , then19 May, 2024 (E)Power of iota
  50. 50If a complex number is such that purely imaginary number and the locus of is a closed curve, then the area of the region bounded by that clo19 May, 2024 (E)Conjugate, modulus and argument

Frequently Asked Questions

1.How many questions are available for Complex Number?

This chapter includes 313 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP EAMCET 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 AP EAMCET Mathematics?

Complex Number has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 313 questions across 93 papers - about 3 per paper it appears in.

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

Of the 313 questions analysed for this chapter, 37% are easy, 44% moderate and 18% tough. 2022 had the most, with 38 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 - 78 questions (25%)
  • Algebra of complex numbers - 54 questions (17%)
  • Cube Root of Unity - 35 questions (11%)
  • Conjugate, modulus and argument has produced the most tough questions (12).
6.Is Complex Number's weightage in AP EAMCET going up or down?

Across all 93 papers analysed, Complex Number has averaged about 3.4 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 3.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.