Mathematics · Chapter-Wise Mock Test

JEE Main Complex Numbers Mock Test

~2 questions per paper · 6% Mathematics weightage

Hard6 subtopics
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Subtopics in Complex Numbers

  • Algebra of Complex Numbers
  • Modulus & Argument
  • Polar Form
  • de Moivre's Theorem
  • Cube Roots of Unity
  • Geometric Representation

Key Formulas

  • ›|z| = √(a²+b²)
  • ›arg(z) = tan⁻¹(b/a)
  • ›z^n = r^n(cos nθ + i sin nθ)
  • ›ω³ = 1, 1+ω+ω²=0

Complex Numbers in JEE Main — Exam Statistics

6%
Mathematics weightage
~2
questions per paper
6
subtopics
Hard
difficulty level

Complex Numbers in JEE Main — FAQ

What complex number topics appear in JEE Main?

Geometric representation (locus of z in Argand plane), de Moivre's theorem for finding n-th roots, cube roots of unity (ω properties: 1+ω+ω²=0), amplitude/modulus calculations, and triangle inequality |z₁+z₂| ≤ |z₁|+|z₂| appear most.

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Other Mathematics Chapters

Algebra FundamentalsTrigonometryCoordinate GeometryDifferential CalculusIntegral CalculusVectors & 3D GeometryMatrices & DeterminantsProbabilityStatisticsSequences & SeriesBinomial TheoremPermutation & CombinationSets, Relations & FunctionsMathematical Reasoning

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JEE Main Complex Numbers Mock Test | Modulus, de Moivre's Theorem | HenceProve | HenceProve