Chapter 4 Class 11 Complex Numbers

Master Chapter 4 Class 11 Complex Numbers with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Serial order wise

Ex 4.1
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Examples
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Miscellaneous
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Modulus, Argument, Polar Representation
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Quadratic Equations with Complex Roots
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Concept wise

Quadaratic equation
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Two complex numbers equal
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Convert to a + ib form
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Identities (square, cube of 2 complex numbers)
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Division
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Power of i(odd and even)
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Conjugate
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Modulus,argument
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Polar representation
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Proof- Replacing iota with -iota
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Proof- Taking general complex numbers
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Proof- Solving
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Proof- Using modulus conjugate property (Pg 102)
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Why Learn This With Teachoo?

Updated for new NCERT Books - 2026 Exams.

Get NCERT Solutions of Chapter 4 Class 11 - Complex Numbers free. All questions, including examples and miscellaneous have been solved and divided into different Concepts, with questions ordered from easy to difficult.

 

The topics of the chapter include

  • Solving Quadratic equation where root is in negative.
  • Defining complex numbers - z = a + ib
  • Solving when two complex numbers are equal
  • Solving Identities of complex numbers (Square, Cube of 2 complex numbers)
  • Addition, subtraction, multiplication and division of complex numbers
  • Power of i (odd power and even power)
  • Modulus and Conjugate of a complex number, and the property
  • Finding multiplicative inverse
  • Finding modulus and argument of a complex number,
  • and representing it in polar form
  • Also, doing some proof questions

 

Check the solutions by clicking on an exercise or topic below. (Important questions are marked)