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August 18, 202239 Insightful Publications

**NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations:** can benefit students preparing for the CBSE Class 11 Term 2 examination. Several mathematical principles, theorems, and formulas necessary for solving algebraic sums are covered in the chapter Complex Number and Quadratic Equation Class 11. The experts prepare these NCERT Class 11 Maths solutions at Embibe following the latest CBSE guidelines.

Complex Numbers and Quadratic Equations is part of the Term 1 CBSE Syllabus for 2021-22, and it covers a variety of critical mathematical theorems and equations. This article will provide the CBSE Class 11 Maths Chapter 5 Solutions PDF. Students can download the solutions for free without having to sign up.

Students can refer to the table below to check the important topics covered in NCERT Class 11 Maths Chapter 5:

Exercise No. | Topics |
---|---|

5.1 | Introduction |

5.2 | Complex Numbers |

5.3 | Algebra of Complex Numbers |

5.3.1 | Addition of Two Complex Numbers |

5.3.2 | Difference of Two Complex Numbers |

5.3.3 | Multiplication of Two Complex Numbers |

5.3.4 | Division of Two Complex Numbers |

5.3.5 | Power of i (odd and even) |

5.3.6 | The Square mysqladmins of a negative real number |

5.3.7 | Identities |

5.4 | The Modulus and the Conjugate of a Complex Number |

5.5 | Argand Plane and Polar Representation |

5.5.1 | Polar Representation of a Complex Number |

5.6 | Quadratic Equations |

We have provided a few important points that are covered in NCERT Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations to help students in their exam preparations. Refer to the points below:

- √-1 is an imaginary quantity and is denoted by i.
- i
^{2}= −1, i^{3}= −i, i^{4}= 1 and, i^{±n}= i^{±k}, n ∈ N where k is the remainder when n is divided by 4. - For any positive real number a, √−a = i√a.
- If a, b are real numbers, then a number z = a + ib is called a complex number.
- Real number a is known as the real part of z and b is known as its imaginary part. We write a = Re(z), b = lm(z).
- A complex number z is purely real if lm(z) = 0 and z is purely imaginary if Re(z) = 0.
- For any two complex numbers, z
_{1}= a_{1}+ ib_{1}and z_{2}= a_{2}+ ib_{2}.- Addition: z
_{1}+ z_{2}= (a_{1}+ a_{2}) + i(b_{1}+ b_{2}) - Subtraction: z
_{1}− z_{2}= (a_{1}− a_{2}) + i(b_{1}− b_{2}) - Multiplication: z
_{1}z_{2}= (a_{1}a_{2}− b_{1}b_{2}) + i(a_{1}b_{2}+ a_{2}b_{1})

- Addition: z

Students can get all the important points for NCERT Class 11 Maths Chapter 5 for free by visiting Embibe.

The NCERT Solutions for Class 11 Maths are listed below to help students with their exam preparations:

**1st Chapter: Sets****2nd Chapter: Relations and Functions****3rd Chapter: Trigonometric Functions****4th Chapter: Principle of Mathematical Induction****5th Chapter: Complex Numbers and Quadratic Equations****6th Chapter: Linear Inequalities****7th Chapter: Permutations and Combinations****8th Chapter: Binomial Theorem****9th Chapter: Sequences and Series****10th Chapter: Straight Lines****11th Chapter: Conic Sections****12th Chapter: Introduction to Three Dimensional Geometry****13th Chapter: Limits and Derivatives****14th Chapter: Mathematical Reasoning****15th Chapter: Statistics****16th Chapter: Probability**

** Ans:** You can download all 11th Maths Ch 5 solutions from Embibe.

** Ans:** For the annual exam of Class 11 Maths, NCERT Maths textbook and previous year papers are enough. For exams like JEE, you will have to refer to some advanced books as well.

** Ans:** Yes, All solutions provided by Embibe are available for free. You don’t even have to sign up or register to download the solutions.

**Ans:** Students will benefit the most from the NCERT Class 11 Mathematics books. This book assists students in preparing for not only their year-end exams but also competitive exams. The answer and chapters are available for free on the Embibe site.

**Ans:** The NCERT Class 11 Chapter 5 deals with Complex Number, Algebra of Complex Numbers, Quadratic Equations, The Modulus and the Conjugate of a Complex Number, etc.