NCERT Solutions for Class 11 Maths Chapter 5 PDF - Embibe
  • Written By Zeshan Naz
  • Last Modified 01-09-2022
  • Written By Zeshan Naz
  • Last Modified 01-09-2022

NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

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.

NCERT Solutions for Class 11 Maths Chapter 5: Important Topics

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

Exercise No.Topics
5.1Introduction
5.2Complex Numbers
5.3Algebra of Complex Numbers
5.3.1Addition of Two Complex Numbers
5.3.2Difference of Two Complex Numbers
5.3.3Multiplication of Two Complex Numbers
5.3.4Division of Two Complex Numbers
5.3.5Power of i (odd and even)
5.3.6The Square mysqladmins of a negative real number
5.3.7Identities
5.4The Modulus and the Conjugate of a Complex Number
5.5Argand Plane and Polar Representation
5.5.1Polar Representation of a Complex Number
5.6Quadratic Equations

NCERT Solutions for Class 11 Maths Chapter 5: Points to Remember

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.
  • i2 = −1,  i3 = −i,  i4 = 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, z1 = a1 + ib1 and z2 = a2 + ib2.
    • Addition: z1 + z2 = (a1 + a2) + i(b1 + b2)
    • Subtraction: z1 − z2 = (a1 − a2) + i(b1 − b2)
    • Multiplication: z1z2 = (a1a2 − b1b2) + i(a1b2 + a2b1)

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

NCERT Solutions for Class 11 Maths: All Chapters

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

FAQs on NCERT Solutions for Class 11 Maths Chapter 5

Q.1: From where can I download CBSE Class 11 Maths Ch 5 solutions PDF?

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

Q.2: Is NCERT enough for Class 11 Maths?

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.

Q.3: Are the CBSE 11th Maths solutions of Embibe available for free?

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.

Q.4: Is the NCERT Mathematics book for Class 11 a suitable practice book?

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.

Q.5: What is the NCERT Class 11 Chapter 5 covers?

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.

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