Definition Of Imaginary Part

If z = x + iy is a complex number, then y is called the Imaginary Part of the complex number z.

More About Imaginary Part

The imaginary part of a complex conjugate is opposite to the sign of the imaginary part of that complex number.
If z is a complex number and zÌ… is its conjugate complex, then the imaginary part of z is given by .

Video Examples: Finding Real and Imaginary Parts
 

Example of Imaginary Part

The imaginary part of a complex number 3 - 4i is - 4.

Solved Example on Imaginary Part

Ques: Choose the imaginary part of the complex number 7 + 8i. 

Choices:

A. 8i
B. - 7
C. 7
D. 8
Correct Answer: D

Solution:

Step 1: The imaginary part of the complex number 7 + 8i is 8.
[The imaginary part of the complex number a + ib is b.]

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