Any number which can be converted or written in the form
, is a complex number. Here
are real numbers and
(also called iota) is equal to
.
here is called the real part of complex number and
is called the imaginary part of complex number.
Note*: The complex number of the form
, is basically called the cartesian form of complex number. We will learn about all the different forms of complex numbers in other articles. Each form of complex number can be easily converted into any other form.
Lets take an example of Complex Number:
{
}
In the previous grades, you would have considered that
is not defined but it can be represented in the form of complex number as done above.
can be written in the form:
which is the same form as
. Here, the real part of complex number is equal to 0 and imaginary part of complex number is equal to 4.
Can you write five examples of complex numbers?
and
are five examples of complex numbers.
Note that every real number is a complex number but every complex number is not a real number.
Lets suppose, we have an integer 3 which is a real number. It can be written in the form
which is the general form
of complex number. Here, the imaginary part of complex number is equal to 0 but it is still a complex number. Now, lets take an example of complex number which is not a real number.
is a complex number but it is not a real number.
What did you learn in this article?
- What is a complex number and its cartesian form.
- Real and Imaginary Parts of Complex Number
- Every real number is a complex number but every complex number is not a real number.
Tooba says
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