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Complex Number

Definition Of Complex Number

Complex Number is a number that can be expressed in the form of x + yi.

More About Complex Number

Complex numbers are numbers that are written as the sum or difference of a real number and an imaginary number.
3 + 5i, 8 - 11i are examples of complex numbers.
Complex Conjugates: The complex numbers a + bi and a - bi are conjugates of each other. We get the conjugate of a complex number just by changing the sign of the imaginary part of the number.
For example, the conjugate of the complex number 12 - 4i is 12 + 4i.

Video Examples: Algebra - Complex Numbers

Solved Example onComplex Number

Ques: Choose the imaginary part of the complex number 10 + 13i.

Choices:

A. 13
B. 13i
C. -10
D. 10
Correct Answer: A

Solution:

Step 1: The imaginary part of a complex number is the coefficient of i in the complex number.
Step 2: So, the imaginary part of the given complex number 10 + 13i is 13.