Ch05. Complex Numbers & Quadratic Equations

In this self study course, you will learn Need for complex numbers, especially $\sqrt{-1}$ , to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers.Argand plane and polar representation of complex numbers. solution of quadratic equations (with real coefficients) in the complex number system.Square root of a complex number. This course also has solutions of NCERT Exercise questions.

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5 hours 2 minutes Course Duration

English Syllabus medium

Hindi + English Explanation

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Course Content

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Imaginary Numbers and Complex Numbers

Working with Imaginary Numbers and Complex Numbers

NCERT Exercise 5.1

NCERT Exercise 5.3

Cartesian and Polar Coordinate Systems

Relationship between Cartesian and Polar Coordinate Systems

Argand Diagram to represent Complex Numbers

Polar Representation of Complex Numbers

Modulus and Argument of Complex Numbers

Questions based on Polar Form, Modulus & Arguments

NCERT Exercise 5.2

8 Subtopics

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Topic Content

0% Complete 0/8 Steps

Conjugate of Complex Numbers

NCERT Examples

5 Subtopics

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Topic Content

0% Complete 0/5 Steps

Miscellaneous Exercise

20 Subtopics

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Topic Content

0% Complete 0/20 Steps

Supplementary Exercise

6 Subtopics

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Topic Content

0% Complete 0/6 Steps

Course Content

Imaginary Numbers and Complex Numbers

Working with Imaginary Numbers and Complex Numbers

NCERT Exercise 5.1

NCERT Exercise 5.3

Cartesian and Polar Coordinate Systems

Relationship between Cartesian and Polar Coordinate Systems

Argand Diagram to represent Complex Numbers

Polar Representation of Complex Numbers

Modulus and Argument of Complex Numbers

Questions based on Polar Form, Modulus & Arguments

NCERT Exercise 5.2

Question – 1

Question – 2

Question – 3

Question – 4

Question – 5

Question – 6

Question – 7

Question – 8

Conjugate of Complex Numbers

NCERT Examples

Example 8

Example 12

Example 14

Example 15

Example 16

Miscellaneous Exercise

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 20

Question 19

Question 18

Question 17

Supplementary Exercise

Square root of Complex Number

Question – 2

Question – 3

Question – 4

Question – 5

Question – 6