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Mathematics - Complex Number

Practise 32 Manipal (MET) previous year questions on Complex Number, compiled from papers spanning 2010 to 2023. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Complex Number has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 32 questions in all. 53% of them were easy, 41% moderate and 6% tough. Most of its questions came from 2019, with 6 questions that year. In the last three years (2022–2024) it had 2 questions across 2 papers, about 1 per paper.

The chapter's 8 topics are not weighted equally: Conjugate, modulus and argument (9 questions, 28%), Cube Root of Unity (7 questions, 22%), and Algebra of complex numbers (4 questions, 13%) have been asked the most. Over the last five years the most frequent topics have been Algebra of complex numbers (2), Cube Root of Unity (2), and Locus Based on Distance Formula (2). Conjugate, modulus and argument has produced the most tough questions (1).

  1. 1If complex number lies in the interior or on the boundary of circle of radius 3 units, then maximum and minimum values of are2023Locus Based on Distance Formula
  2. 2If , then the minimum value of is2022Conjugate, modulus and argument
  3. 3If is a cube root of unity, then is2021Cube Root of Unity
  4. 4The complex number which satisfy the equation lies on2021Geometry of Complex Number
  5. 5If , where and are real numbers, then and are equal to2020Algebra of complex numbers
  6. 6If and are the cube roots of unity, then the value of is equal to2020Cube Root of Unity
  7. 7If , then the value of will be2020Algebra of complex numbers
  8. 8If and are collinear, where , then the value of will be2020Locus Based on Distance Formula
  9. 9If , then , where is equal to:2019Algebra of complex numbers
  10. 10Let be three vertices of an equilateral triangle circumscribing the circle . If and , were in anticlockwise sense, then is2019Conjugate, modulus and argument
  11. 11If , then the value of is2019Conjugate, modulus and argument
  12. 12Let is an imaginary cube roots of unity, then the value of2019Cube Root of Unity
  13. 13The locus of the point satisfying , (where is non-zero) is2019Locus Based on Distance Formula
  14. 14If and are complex number such that then is2019Conjugate, modulus and argument
  15. 15Area of the triangle in the argand diagram formed by the complex numbers , where is2018Geometry of Complex Number
  16. 16If is a cube root of unity, then is2018Cube Root of Unity
  17. 17The complex number which satisfy the equation lies on2018Conjugate, modulus and argument
  18. 18If , then is equal to2018Polar and Euler Form
  19. 19If is an imaginary cube root of 1 , then is equal to2017Cube Root of Unity
  20. 20If is an imaginary cube root of unity, then the value of2015Cube Root of Unity
  21. 21If , then is equal to2015De Moivres Theorem
  22. 22If are roots of unity, then the value of will be2014nth roots of unity
  23. 23If are cube roots of unity, then is equal to2014Cube Root of Unity
  24. 24If , then can take the value2013De Moivres Theorem
  25. 25If , then the value of is2013Algebra of complex numbers
  26. 26If is real and are connected by , then triangle with vertices and is2013Geometry of Complex Number
  27. 27If and , then2012Conjugate, modulus and argument
  28. 28The complex number which satisfy the equation , lie on2012Conjugate, modulus and argument
  29. 29is2012Polar and Euler Form
  30. 30If and are two complex numbers such that , then2012Conjugate, modulus and argument
  31. 31If are positive integers, then is a real number if and only if2010Conjugate, modulus and argument
  32. 32The equation represent a hyperbola, if2010Locus Based on Distance Formula

Frequently Asked Questions

1.How many questions are available for Complex Number?

This chapter includes 32 questions compiled from Manipal (MET) papers spanning 2010 to 2023.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Complex Number has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 32 questions across 12 papers - about 3 per paper it appears in.

4.What is the difficulty level of Complex Number questions in Manipal (MET)?

Of the 32 questions analysed for this chapter, 53% are easy, 41% moderate and 6% tough. 2019 had the most, with 6 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 - 9 questions (28%)
  • Cube Root of Unity - 7 questions (22%)
  • Algebra of complex numbers - 4 questions (13%)
  • Conjugate, modulus and argument has produced the most tough questions (1).
6.Is Complex Number's weightage in Manipal (MET) going up or down?

Across all 12 papers analysed, Complex Number has averaged about 2.7 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.