Examples on Complex Numbers
Example 1: Plot these complex numbers z = 3 + 2i on the Complex plane.
Solution:
Given:
z = 3 + 2 i
So, the point is z(3, 2). Now we plot this point on the below graph, here in this graph x-axis represents the real part and y-axis represents the imaginary part.
Example 2: Plot these complex numbers z1 = (2 + 2 i), z2 = (-2 + 3 i), z3 = (-1 – 3 i), z4 = (1 – i) on the Complex plane.
Solution:
Given:
z1 = (2 + 2 i)
z2 = (-2 + 3 i)
z3 = (-1 – 3 i)
z4 = (1 – i)
So, the points are z1 (2, 2), z2(-2, 3), z3(-1, -3), and z4(1, -1). Now we plot these points on the below graph, here in this graph x-axis represents the real part and y-axis represents the imaginary part.
Complex Numbers
Complex Numbers are the natural continuation of real numbers. In the modern age complex numbers are used in many fields such as digital signal processing, cryptography, and many computer-related fields.
In this article, we will learn about imaginary numbers, complex numbers, and its type, various operations on complex numbers, properties of complex numbers, application of complex numbers, etc.
Table of Content
- Complex Numbers Definition
- Modulus of Complex Number
- Argument of Complex Number
- Power of i(iota)
- Need for Complex Numbers
- Classification of Complex Numbers
- Different Forms of Complex Numbers
- Operations on Complex Numbers
- Identities for Complex Numbers
- Formulas Related to Complex Numbers
- Euler’s Formula
- De Moivre’s Formula
- Complex Plane
- Geometrical Representation of Complex Numbers
- Properties of Complex Numbers
- Solved Examples
- FAQs