What is the shape of the graph of the equation z +z = 4 in the complex plane? A vertical line A horizontal line A single point A circle
What is the shape of the graph of the equation z +z = 4 in the complex plane? A vertical line A horizontal line A single point A circle
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:What is the shape of the graph of the equation z + 7 = 4 in the complex plane?
A vertical line
A horizontal line
A single point
A circle
Expert Solution
Step 1
In this question, concept of complex number is applied.
Complex Number
A complex number is denoted by the letter z and has the form a + ib. Both a and b are numbers in this case. The value 'a' is known as the real component and is indicated by Re(z), while 'b' is known as the imaginary part and is denoted by Im (z). ib is also known as an imaginary number.
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