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Mathematics - Complex Number

Practise 37 VITEEE previous year questions on Complex Number, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Complex Number has been asked in 17 of the 18 years of VITEEE papers analysed (2006–2024), with 37 questions in all. 27% of them were easy, 49% moderate and 24% tough. Most of its questions came from 2014, with 4 questions that year. In the last three years (2022–2024) it had 3 questions across 2 papers, about 1.5 per paper.

The chapter's 7 topics are not weighted equally: Algebra of complex numbers (15 questions, 41%), Conjugate, modulus and argument (9 questions, 24%), and Cube Root of Unity (4 questions, 11%) have been asked the most. Algebra of complex numbers has also led over the last five years, with 2 questions. Algebra of complex numbers has produced the most tough questions (8).

  1. 1The complex number satisfying , then the value of equals2024Algebra of complex numbers
  2. 2If \(f(z)= {7-z}{1-z^2}\), where \(z=1+2 i\), then \(|f(z)|\) is equal to :2023Algebra of complex numbers
  3. 3If \( ( {z}_1 )= (z_2 )\), then2023Conjugate, modulus and argument
  4. 4The value of is2021Power of iota
  5. 5If , then ) where is equal to2019Algebra of complex numbers
  6. 6If then is2019Cube Root of Unity
  7. 7Amplitude of is :2018Conjugate, modulus and argument
  8. 8One of the values of is2018De Moivres Theorem
  9. 9The equation represents a circle of radius2017Geometry of Complex Number
  10. 10If then2017Power of iota
  11. 11The value of is2016Cube Root of Unity
  12. 12If , and , then2016De Moivres Theorem
  13. 13If the complex number lies on a circle with centre at the origin and radius , then the complex number lies on a circle with radius2015Conjugate, modulus and argument
  14. 14If , then the value of is2015nth roots of unity
  15. 15If , then the least value of is2015Conjugate, modulus and argument
  16. 16If , then is equal to2014Algebra of complex numbers
  17. 17If , and , then is equal to2014Algebra of complex numbers
  18. 18If , then the greatest and the least value of are2014Conjugate, modulus and argument
  19. 19If the area of the triangle on the complex plane formed by the points and iz is 200 , then the value of must be equal to2014Algebra of complex numbers
  20. 20A complex number is such that arg . The points representing this complex number will lie on2013Conjugate, modulus and argument
  21. 21If the complex numbers and are in , then they lie on a2012Geometry of Complex Number
  22. 22If , then find .2011Algebra of complex numbers
  23. 23Let be a set containing elements. Then, number of binary operations on is2010Algebra of complex numbers
  24. 24The numer ically greatest term in the expansion of when , is2010Conjugate, modulus and argument
  25. 25If and are in GP, then , are in2010Algebra of complex numbers
  26. 26The locus of satisfying the inequality , where , is2009Algebra of complex numbers
  27. 27If is an integer which leaves remainder one when divided by three, then equals2009Cube Root of Unity
  28. 28The equation , represents2008Algebra of complex numbers
  29. 29The simplified expression of , for any real number is given by2008Conjugate, modulus and argument
  30. 30Argument of the complex number is2008Algebra of complex numbers
  31. 31If then the value of is equal to2007Algebra of complex numbers
  32. 32The product of all values of is equal to2007Cube Root of Unity
  33. 33If the rank of the matrix is 1, then the value of a is2007Geometry of Complex Number
  34. 34If and then such that is at right angle to will be equal to2006Geometry of Complex Number
  35. 35What is the area of a loop of the curve2006Algebra of complex numbers
  36. 36The value of the integral2006Conjugate, modulus and argument
  37. 37The solution of is2006Algebra of complex numbers

Frequently Asked Questions

1.How many questions are available for Complex Number?

This chapter includes 37 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Complex Number has appeared in 17 of the 18 years of VITEEE papers covered here, with 37 questions across 17 papers - about 2 per paper it appears in.

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

Of the 37 questions analysed for this chapter, 27% are easy, 49% moderate and 24% tough. 2014 had the most, with 4 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 - 15 questions (41%)
  • Conjugate, modulus and argument - 9 questions (24%)
  • Cube Root of Unity - 4 questions (11%)
  • Algebra of complex numbers has produced the most tough questions (8).
6.Is Complex Number's weightage in VITEEE going up or down?

Across all 17 papers analysed, Complex Number has averaged about 2.2 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.