# 5. Complex Numbers and Quadratic Equations

##### 6 LECTURES

• This page has links to complete syllabus of NCERT Chapter 5 Complex Numbers and Quadratic Equations based on syllabus recommended by CBSE based on class 11 maths.
• There are 6 video lectures having explanations from basic to advance concepts, each and every NCERT solutions, questions and all important examples. You can access them directly from the lecture menu or just scroll down the page.
• All lecture were uploaded on YouTube so for better learning experience here you will find link to YouTube Playlist of Chapter 5 Complex numbers and quadratic equations.
• Also, there are detailed highlights of each video lecture with exact timestamp links so that you can easily access all topics and questions directly.
• Just click on the timestamp link and you will be redirected to video watch page at exactly that time.

## PDFs OF LECTURES

##### 5(A) || Basics of Imaginary Numbers and Complex Numbers Exercise 5.1 Exercise 5.3

00:00:05 Basics of numbers systems, imaginary numbers, real numbers, iota

00:02:28 Meaning of complex numbers

00:03:55 Working with Imaginary Numbers (iota)

00:07:20 Working with Complex Numbers

00:07:28 Addition and Subtraction of Complex Numbers

00:07:38 Multiplication of Complex Numbers

00:09:08 Division of Complex Numbers

00:10:18 Additive Inverse and Multiplicative Inverse of Complex numbers

00:11:48 NCERT Exercise 5.1 Question 1

00:12:48 NCERT Exercise 5.1 Question 2

00:13:48 NCERT Exercise 5.1 Question 3

00:15:18 NCERT Exercise 5.1 Question 4

00:16:00 NCERT Exercise 5.1 Question 5

00:16:28 NCERT Exercise 5.1 Question 6

00:17:45 NCERT Exercise 5.1 Question 7

00:19:36 NCERT Exercise 5.1 Question 8

00:20:34 NCERT Exercise 5.1 Question 9

00:22:54 NCERT Exercise 5.1 Question 10

00:26:14 NCERT Exercise 5.1 Question 11

00:28:04 NCERT Exercise 5.1 Question 12

00:29:34 NCERT Exercise 5.1 Question 13

00:30:14 NCERT Exercise 5.1 Question 14

00:32:44 Working with quadratic equations of negative discriminant

00:32:46 NCERT Exercise 5.3 Question 1

00:33:54 NCERT Exercise 5.3 Question 2

00:36:24 NCERT Exercise 5.3 Question 3

00:38:04 NCERT Exercise 5.3 Question 4

00:39:24 NCERT Exercise 5.3 Question 5

00:40:44 NCERT Exercise 5.3 Question 6

00:41:44 NCERT Exercise 5.3 Question 7

00:43:24 NCERT Exercise 5.3 Question 8

00:45:14 NCERT Exercise 5.3 Question 9

00:49:55 NCERT Exercise 5.3 Question 10

##### 5(B) || Modulus Argument Polar Form of Complex Numbers Exercise 5.2

00:00:46 Cartesian Coordinate System and Polar Coordinate System

00:09:00 Relationship between cartesian coordinate system and polar coordinate system

00:20:48 Argand Diagram

00:32:00 Meaning of Modulus and Modulus of Complex Numbers mod(z)=|z|= r

00:35:00 Detailed explanation and derivation for argument of complex numbers arg(z), Polar form

01:00:11 NCERT Exercise 5.2 Question 1

01:03:11 NCERT Exercise 5.2 Question 2

01:05:01 NCERT Exercise 5.2 Question 3

01:07:55 NCERT Exercise 5.2 Question 4

01:09:42 NCERT Exercise 5.2 Question 5

01:11:51 NCERT Exercise 5.2 Question 6

01:18:41 NCERT Exercise 5.2 Question 7

01:20:11 NCERT Exercise 5.2 Question 8

##### 5(C) || Conjugate of Complex Numbers Example 8, 12, 14, 15, 16

00:01:00 Conjugate of a complex number

00:05:31 Relationship of conjugate with modulus of complex numbers

00:07:25 NCERT Chapter 5 Example 8

00:12:45 NCERT Chapter 5 Example 12

00:18:45 NCERT Chapter 5 Example 14 (method 1)

00:24:55 NCERT Chapter 5 Example 14 (method 2)

00:27:50 NCERT Chapter 5 Example 15 (with purely real case and purely imaginary case)

00:39:00 NCERT Chapter 5 Example 16

##### 5(D) || Supplementary Exercise 5.4 Square Root of Complex Numbers

00:00:00 Square root of complex numbers

00:02:33 NCERT Supplementary Exercise 5.4 Question 1 (method 1)

00:14:33 NCERT Supplementary Exercise 5.4 Question 1 (method 2)

00:21:33 NCERT Supplementary Exercise 5.4 Question 2

00:26:06 NCERT Supplementary Exercise 5.4 Question 3

00:32:11 NCERT Supplementary Exercise 5.4 Question 4

00:35:44 NCERT Supplementary Exercise 5.4 Question 5

00:37:39 NCERT Supplementary Exercise 5.4 Question 6

##### 5(E) || Q1 to Q10 Miscellaneous Exercise

00:00:40 NCERT Miscellaneous Exercise Question 1

00:05:42 NCERT Miscellaneous Exercise Question 2

00:10:12 NCERT Miscellaneous Exercise Question 3

00:17:42 NCERT Miscellaneous Exercise Question 4

00:21:12 NCERT Miscellaneous Exercise Question 5

00:28:02 NCERT Miscellaneous Exercise Question 6

00:31:12 NCERT Miscellaneous Exercise Question 7

00:33:12 NCERT Miscellaneous Exercise Question 8

00:35:22 NCERT Miscellaneous Exercise Question 9

00:38:22 NCERT Miscellaneous Exercise Question 10

##### 5(F) || Q11 to Q20 Miscellaneous Exercise

00:00:30 NCERT Miscellaneous Exercise Question 11

00:04:48 NCERT Miscellaneous Exercise Question 12

00:08:28 NCERT Miscellaneous Exercise Question 13

00:11:48 NCERT Miscellaneous Exercise Question 14

00:14:58 NCERT Miscellaneous Exercise Question 15

00:17:08 NCERT Miscellaneous Exercise Question 16

00:20:48 NCERT Miscellaneous Exercise Question 20

00:24:48 NCERT Miscellaneous Exercise Question 19

00:27:38 NCERT Miscellaneous Exercise Question 18

00:32:48 NCERT Miscellaneous Exercise Question 17