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Mathematics - Complex Number

Practise 235 TS 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 TS EAMCET tests.

Complex Number has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 235 questions in all. 42% of them were easy, 43% moderate and 15% tough. Most of its questions came from 2020, with 31 questions that year. In the last three years (2022–2024) it had 64 questions across 17 papers, about 3.8 per paper.

The chapter's 11 topics are not weighted equally: Algebra of complex numbers (52 questions, 22%), Conjugate, modulus and argument (35 questions, 15%), and Cube Root of Unity (35 questions, 15%) have been asked the most. Algebra of complex numbers has also led over the last five years, with 24 questions. Geometry of Complex Number has produced the most tough questions (8).

  1. 1Preview not available - open to view this question.04 May, 2025 (M)Algebra of complex numbers
  2. 2Let represent a point in the Argand plane. If satisfies the condition that amplitude of , then the locus of P is04 May, 2025 (M)Geometry of Complex Number
  3. 3Preview not available - open to view this question.04 May, 2025 (M)De Moivres Theorem
  4. 4One of the roots of the equation is04 May, 2025 (M)Complex Number
  5. 5If the eight vertices of a regular octagon are given by the complex numbers , then the radius of the circumcircle of the octagon is04 May, 2025 (E)Complex Number
  6. 6If and then the sum of the maximum and minimum values of is04 May, 2025 (E)Complex Number
  7. 7If is a solution of , then04 May, 2025 (E)De Moivres Theorem
  8. 8If is a cube root of unity, then one root among the roots of is04 May, 2025 (E)nth roots of unity
  9. 9One of the values of is03 May, 2025 (M)Algebra of complex numbers
  10. 10The set of all values of such that is purely imaginary is03 May, 2025 (M)Conjugate, modulus and argument
  11. 11If is a root of the equation then to 12 terms03 May, 2025 (M)Cube Root of Unity
  12. 12The amplitude of the complex number is03 May, 2025 (E)Complex Number
  13. 13If a complex number represents a point in the Argand plane and satisfies the condition that the imaginary part of is zero, then the locus of03 May, 2025 (E)Geometry of Complex Number
  14. 14Preview not available - open to view this question.03 May, 2025 (E)De Moivres Theorem
  15. 15Number of real values of is03 May, 2025 (E)De Moivres Theorem
  16. 16If , then02 May, 2025 (M)Algebra of complex numbers
  17. 17Let and be a point on the Argand plane. If satisfies the condition then the locus of P is02 May, 2025 (M)Geometry of Complex Number
  18. 18If is a complex cube root of unity and then02 May, 2025 (M)Complex Number
  19. 19The product of all the values of is02 May, 2025 (M)De Moivres Theorem
  20. 20is a complex cube root of unity and Z is a complex number satisfying . The possible values of such that and have no common solution are02 May, 2025 (E)Cube Root of Unity
  21. 21If and is the , then02 May, 2025 (E)De Moivres Theorem
  22. 22If such that , then02 May, 2025 (E)De Moivres Theorem
  23. 23In Argand plane, no value of lie in02 May, 2025 (E)De Moivres Theorem
  24. 24If then02 May, 2025 (E)Conjugate, modulus and argument
  25. 25If , then11 May, 2024 (M)Conjugate, modulus and argument
  26. 26and the point represents in the Argand plane. If the amplitude of is , then the equation of the locus of P is11 May, 2024 (M)Geometry of Complex Number
  27. 27are the roots of the equation . If the point representing in the Argand diagram lies in the 2nd quadrant and , then11 May, 2024 (M)Polar and Euler Form
  28. 28If is a root of the equation , then11 May, 2024 (M)Cube Root of Unity
  29. 29If and are two positive real numbers such that then10 May, 2024 (M)Algebra of complex numbers
  30. 30If and if the point P represents in the Argand plane, then the locus of satisfying the equation is10 May, 2024 (M)Locus Based on Distance Formula
  31. 31One of the values of is10 May, 2024 (M)De Moivres Theorem
  32. 32If satisfies the equation , then10 May, 2024 (E)Algebra of complex numbers
  33. 33If are three complex numbers with unit modulus such that then10 May, 2024 (E)Conjugate, modulus and argument
  34. 34If is the complex cube root of unity and then is always10 May, 2024 (E)Cube Root of Unity
  35. 35If and , and , then the point lies in10 May, 2024 (E)Polar and Euler Form
  36. 36If , then09 May, 2024 (M)Rotation Theorem
  37. 37The point denotes the complex number in the Argand plane. If is a purely real number, then the equation of the locus of is09 May, 2024 (M)Geometry of Complex Number
  38. 38and are two complex numbers such that . If and , then09 May, 2024 (M)Conjugate, modulus and argument
  39. 39One of the roots of the equation is09 May, 2024 (M)nth roots of unity
  40. 40If , then09 May, 2024 (E)Algebra of complex numbers
  41. 41If , then09 May, 2024 (E)Polar and Euler Form
  42. 42The product of all the values of is09 May, 2024 (E)Power of iota
  43. 43The number of common roots among the and roots of unity is09 May, 2024 (E)Cube Root of Unity
  44. 44If then14 May, 2023 (M)Power of iota
  45. 45If then14 May, 2023 (M)Conjugate, modulus and argument
  46. 46The locus of such that , where , is14 May, 2023 (M)Locus Based on Distance Formula
  47. 47If , then14 May, 2023 (M)Polar and Euler Form
  48. 48If the roots of the equation are and , then14 May, 2023 (M)Conjugate, modulus and argument
  49. 49If and are the complex cube roots of unity, then14 May, 2023 (E)Cube Root of Unity
  50. 50will be purely imaginary, if is equal to14 May, 2023 (E)Algebra of complex numbers

Frequently Asked Questions

1.How many questions are available for Complex Number?

This chapter includes 235 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS 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 TS EAMCET Mathematics?

Complex Number has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 235 questions across 64 papers - about 4 per paper it appears in.

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

Of the 235 questions analysed for this chapter, 42% are easy, 43% moderate and 15% tough. 2020 had the most, with 31 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 - 52 questions (22%)
  • Conjugate, modulus and argument - 35 questions (15%)
  • Cube Root of Unity - 35 questions (15%)
  • Geometry of Complex Number has produced the most tough questions (8).
6.Is Complex Number's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Complex Number has averaged about 3.7 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 3.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.