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Imaginary Axis

Definition Of Imaginary Axis

The line in the complex plane corresponding to zero real part i.e. R [Z] = 0 is called Imaginary Axis.

More About Imaginary Axis

Imaginary Axis is the y-axis of a complex plane or Argand diagram.

Video Examples: Developing the Imaginary Axis
 

Example of Imaginary Axis

 example of  Imaginary Axis

From the above figure, the x-axis is known as the real axis whereas the y-axis is known as the imaginary axis.

Solved Example on Imaginary Axis

Ques: Identify the graph that represents the point P on the imaginary axis.

 example of  Imaginary Axis

Choices:

A. Graph 2
B. Graph 3
C. Graph 1
D. None of the above
Correct Answer: B

Solution:

Step 1: On a complex plane or Argand diagram, y-axis represents the imaginary axis. 
Step 2: From the graphs given above, Graph 3 represents the point P on the imaginary axis as the point P in Graph 1 and 2 is on the real axis. 
Step 3: Hence Graph 3 represents the point P on the imaginary axis.