Jump to a section

Mathematics - Complex Number

Practise 30 BITSAT previous year questions on Complex Number, compiled from papers spanning 2009 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 BITSAT tests.

Complex Number has been asked in 16 of the 16 years of BITSAT papers analysed (2009–2024), with 30 questions in all. 37% of them were easy, 43% moderate and 20% tough. Most of its questions came from 2024, with 5 questions that year. In the last three years (2022–2024) it had 9 questions across 6 papers, about 1.5 per paper.

The chapter's 6 topics are not weighted equally: Conjugate, modulus and argument (11 questions, 37%), Algebra of complex numbers (8 questions, 27%), and Geometry of Complex Number (6 questions, 20%) have been asked the most. Conjugate, modulus and argument has also led over the last five years, with 6 questions. Algebra of complex numbers has produced the most tough questions (2).

  1. 1If and 4 , then absolute value of equals2024 (Memory Based Paper 1)Conjugate, modulus and argument
  2. 2If forms a rectangle of area square units, then one such is2024 (Memory Based Paper 2)Geometry of Complex Number
  3. 3If are complex numbers such that , then is equal to2024 (Memory Based Paper 2)Conjugate, modulus and argument
  4. 4The points represented by the complex number on the argand plane are2024 (Memory Based Paper 3)Geometry of Complex Number
  5. 5The modulus of the complex number such that and is equal to2024 (Memory Based Paper 3)Conjugate, modulus and argument
  6. 6, when simplified has the value2023 (Memory Based Paper 1)Power of iota
  7. 7The modulus of is2023 (Memory Based Paper 2)Conjugate, modulus and argument
  8. 8If , then the set of points is contained in or equal to the set of points satisfying2022Algebra of complex numbers
  9. 9The smallest positive integral value of such that is purely imaginary, is equal to2022Algebra of complex numbers
  10. 10If is a complex number such that , then2021Algebra of complex numbers
  11. 11then is equal to . Value of is2021Conjugate, modulus and argument
  12. 12If then the value of is,2020Conjugate, modulus and argument
  13. 13The value of for which the loci arg z = 6 and | z - 2 3 i | = on the argand plane touch each other is2019Conjugate, modulus and argument
  14. 14If z 1 and z 1 represents adjacent vertices of a regular polygon of n sides and if I m z 1 R e z 1 = 2 - 1 , then n is equal to2019Algebra of complex numbers
  15. 15The n th roots of unity are in2018nth roots of unity
  16. 16If z = a + i b satisfies arg ( z - 1 ) = arg ( z + 3 i ) , then ( a - 1 ) : b =2017Conjugate, modulus and argument
  17. 17If z 1 , z 2 and z 3 represent the vertices of an equilateral triangle such that z 1 = z 2 = z 3 then2017Geometry of Complex Number
  18. 18If and , then the complex number lies in the :2016Algebra of complex numbers
  19. 19The root of the equation which has greater modulus is2015Conjugate, modulus and argument
  20. 20If complex number and 0 are vertices of equilateral triangle, then is equal to2015Geometry of Complex Number
  21. 21If then where is equal to2014Algebra of complex numbers
  22. 22when simplified has the value2014Power of iota
  23. 23The complex number which satisfies the equation lies on2014Geometry of Complex Number
  24. 24If the real part of is then the locus of the point representing in the complex plane is2013Geometry of Complex Number
  25. 25If and are the roots of then the equation whose roots are and are2013Cube Root of Unity
  26. 26The amplitude of2012Conjugate, modulus and argument
  27. 27If then the value of is2012Cube Root of Unity
  28. 28If \(a > 0, a R, z=a+2 i\) and \(z|z|-a z+1=0\) then2011Algebra of complex numbers
  29. 29The roots of the equation \(x^2-2 {2} x+1=0\) are2010Algebra of complex numbers
  30. 30For the equation \( {1}{x+a}- {1}{x+b}= {1}{x+c}\), if the product of roots is zero, then the sum of roots is2009Conjugate, modulus and argument

Frequently Asked Questions

1.How many questions are available for Complex Number?

This chapter includes 30 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Complex Number has appeared in 16 of the 16 years of BITSAT papers covered here, with 30 questions across 19 papers - about 2 per paper it appears in.

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

Of the 30 questions analysed for this chapter, 37% are easy, 43% moderate and 20% tough. 2024 had the most, with 5 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 - 11 questions (37%)
  • Algebra of complex numbers - 8 questions (27%)
  • Geometry of Complex Number - 6 questions (20%)
  • Algebra of complex numbers has produced the most tough questions (2).
6.Is Complex Number's weightage in BITSAT going up or down?

Across all 19 papers analysed, Complex Number has averaged about 1.6 questions per paper. In the last three years (2022–2024), that average has stayed about the same, 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.