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Chapter 4 Class 11 Complex Numbers

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Updated for new NCERT Books - 2023-24.

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)

Serial order wise

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

Concept wise

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

What's in it?

Updated for new NCERT Books - 2023-24.

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)