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

NCERT Solutions for Class 11 Maths Chapter 5 are aimed at mastering the concepts and acquiring comprehensive knowledge about the various types of questions asked in CBSE Class 11 Examinations. In NCERT Solutions all the questions provided with appropriate solutions will come in handy to revise the concept.

NCERT Solutions for Class 11 Mathematics Chapter 5 – Complex Numbers and Quadratic Equations provides a comprehensive matter. This ensures that the students get proper guidance. Thus it will help them to score better marks in the exams. Moreover, our teachers are experts in their field. As a result, they can mend their career in the proper direction. Furthermore, the solutions are available in the simplest of language. Due to this, it will be easy for the students to grasp the topic.

NCERT Solutions are designed according to the latest syllabus provided by the CBSE and are prepared by the subject experts. NCERT Solutions for Class 11 Maths Chapter 5 explain each and every concept in detail and in easy language. These NCERT Solutions are important for better understanding and scoring higher in exams.

Class 11 is crucial where proper guidance is important. Therefore, the solution is available with proper examples. The experts make tutorial videos on the chapter. Hence you get the whole classroom experience. Also, the solution is hassle-free. You will be able to find it in one go.

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**CBSE ****Class 11 Maths Chapter 5 – Complex Numbers and Quadratic Equations NCERT Solutions**

In NCERT Solutions for Class 11 Maths Chapter 5, you will learn about quadratic equation, two complex numbers equal, convert to a + ib form, identities of two complex numbers, division, power of i, conjugate, modulus, polar representation of a complex number.

**NCERT Solutions for Class 11 Maths Chapter**** 5 **

In NCERT Solutions for Class 11 Maths Chapter 5, you will learn about complex numbers, quadratic equation, algebraic properties of complex numbers, argand plane and polar representation of complex numbers, fundamental theorem of algebra, the square-root of a complex number. Let us now discuss the subtopics in detail.

Our NCERT Solutions for Class 11 Mathematics Chapter 5 gives you the finest solutions. It makes your chapter Complex Numbers and Quadratic Equations uncomplicated. The Chapter talks about the extension of the real number system. This is only possible with Complex Numbers and Quadratic Equation. The explanation of the topic is in detail. As a result, students understand the topic in a comprehensive manner. Even more, information is in the solution.

**Sub-topics covered under NCERT Solutions for Class 11 Maths Chapter 5**

**5.1- Introduction**

In this, you will get to know about the concept of complex numbers. This section gives a brief account of the chapter and what will you learn from it. Moreover, it tells the students the origin and use of the topic.

**5.2 – Complex Numbers**

In this, you will learn about the complex number in detail. This topic gives the meaning of Complex Number. Furthermore, it explains it with Examples. So that the meaning of the topic is clear. In addition, a detail explanation is in the solution.

**5.3 – Algebra of Complex Numbers**

In this, you will learn to perform an algebraic operation on the complex number. This section tells about the algebra part of the Complex Number. Furthermore, it has various subtopics. Also, this subtopic is in detail with suitable examples. Even more, the solution contains all the examples necessary.

**5.3.1- Addition of two complex numbers**

In this, you will add two complex numbers and laws like commutative law, associative law.

**5.3.2 – Difference of two complex numbers**

In this, you will perform subtraction of two complex number.

**5.3.3 – Multiplication of two complex numbers**

In this, you will perform multiplication of complex number such as commutative law, associative law, multiplicative identity, multiplicative inverse.

**5.3.4 – Division of two complex number**

In this, you will do the division of complex number.

**5.3.5 – Power of i**

In this, you will learn to solve the power of i which is the square root of –1, so i^{2} = –1

**5.3.6 – The square roots of a negative real number**

In this, you will find the square root of a number in terms of i.

**5.3.7 – Identities**

In this, you will find the value of a complex number by applying identity such as (z_{1}+z_{2})^{2 }

**5.4 – The Modulus and the Conjugate of a Complex Number**

In this, you will find the modulus of a complex number, a conjugate of a complex number. This sub-topic is on Modulus and Conjugate which is an important part. Moreover, many examples are in Solution. Hence, it ensures a proper understanding of the topic.

**5.5 – Argand Plane and Polar Representation**

In this, you will represent the complex number on argand plane which has real and imaginary part both as the axis, polar representation of a complex number. This section has diagrams. So that the method and meaning are clear. Further, the explanation contains easy steps to complete the explanation.

**5.5.1- Polar representation of a complex number**

In this, you will represent a complex number in a polar form which combines geometry and trigonometry to write complex numbers.

**5.6 Quadratic Equations **

the Quadratic Equation is a special equation. It has different methods to solve. The section of the Quadratic Equation is simple in the solution. And this is only possible as we have expert teachers who put great effort.

**You can download NCERT Solutions for Class 11 Maths Chapter 5 PDF by clicking on the download button below**

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