IMAGINARY NUMBER
Definition Of Imaginary Number
An Imaginary Number is a number in the form of ai, where a is any real number and i2 = - 1 or 
.
More About Imaginary Number
Imaginary numbers are represented on the vertical axis on a complex number plane.
Zero (0) is the only number that is considered both real and imaginary.
Video Examples: Introduction to i and Imaginary Numbers
Example of Imaginary Number
2i is an imaginary number.
Solved Example on Imaginary Number
Ques: Identify the imaginary number from the following.
Choices:
A. 22
B. √-4
C. √2
D. -11/125
Correct Answer: B
Solution:
Step 1: A number of the form ai, where a is any real number and i2 = - 1 or is called an Imaginary Number.
Step 2: Here, √-4 is an imaginary number. [√-4 = 2i]
Quick Summary
- Imaginary numbers are multiples of the imaginary unit 'i'.
- They are represented on the vertical axis of the complex plane.
- When squared, an imaginary number results in a negative real number.
🍎 Teacher Insights
Emphasize the geometric representation of imaginary numbers on the complex plane. Use visual aids to explain the concept of 'i' and its properties. Relate imaginary numbers to real-world applications such as electrical engineering.🎓 Prerequisites
- Real Numbers
- Square Roots
- Basic Algebra
Check Your Knowledge
Q1: Which of the following is an imaginary number?
Q2: What is the value of i²?
Frequently Asked Questions
Q: What is the value of i?
A: i is the imaginary unit, defined as the square root of -1 (√-1).
Q: Can an imaginary number be equal to zero?
A: Yes, zero can be considered both a real and an imaginary number (0 = 0i).