• Written By Zeshan Naz

# 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:

### 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

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?