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 is its conjugate complex, then the Imaginary Part of z is given by .

Example of Imaginary Part

• The Imaginary Part of a Complex Number 3 - 4i is - 4.

Solved Example on Imaginary Part

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.]

Related Terms for Imaginary Part

• Complex Numbers
• Factor
• Imaginary Number

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