CBSE Class 10 Social Science
May 24, 2023
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NCERT Solutions for Class 11 Maths Chapter 5: Complex Numbers and Quadratic Equations
NCERT Solutions for Class 11 Maths Chapter 5: CBSE Class 11 Maths Chapter 5 is about Complex Numbers and Quadratic Equations. This chapter describes the properties of complex numbers and how they can be used to find the roots of quadratic equations. By now, students will be familiar with using a non-negative discriminant to find the roots of a quadratic equation in the real numbers set.
These solutions explain several concepts, formulas, theorems, and problems to provide a clear understanding of complex numbers and quadratic equations. Students will quickly master how to solve these equations with regular revision of Class 11 Maths NCERT Solutions Chapter 5. Continue reading to learn more about NCERT Solutions for Class 11 Maths Chapter 5.
NCERT Solutions for Class 11 Maths Chapter 5: Important Topics
The NCERT Solutions for Class 11 Maths Chapter 5 are designed to make math learning simple and effective. These solutions’ self-explanatory composition of exercises, examples, and illustrations is highly reliable for studying the entire syllabus of this chapter.
At Embibe, we provide NCERT Solutions and additionally offer Embibe Explainer, Practice Questions, Mock Tests and much more for free to help students learn and enhance their knowledge. 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 |
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:
- 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
FAQs on NCERT Solutions for Class 11 Maths Chapter 5
Some of the frequently asked questions on the NCERT Solutions for Class 11 Maths Chapter 5 are as follows:
Q: From where can I get the CBSE Class 11 Maths Ch 5 solutions PDF?
Ans: You can get all 11th Maths Ch 5 solutions from Embibe.
Q: Is NCERT books enough to score well for Class 11 Maths?
Ans: For the annual exam of Class 11 Maths, NCERT Maths textbook and the previous years’ papers are enough. For exams like JEE, you will also have to refer to some advanced books.
Q: Are the CBSE 11th Maths solutions of Embibe available for free?
Ans: Yes, All solutions provided by Embibe are available for free.
Q: 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: What does NCERT Class 11 Chapter 5 cover?
Ans: The NCERT Class 11 Chapter 5 deals with Complex Numbers, Algebra of Complex Numbers, Quadratic Equations, The Modulus and the Conjugate of a Complex Number, etc.
We hope this detailed article on NCERT Solutions for Class 11 Maths Chapter 5 helps you prepare for the exams in the best way.
