REAL AXIS
Definition Of Real Axis
The Real Axis is a line corresponding to zero imaginary part, i.e. I [Z] = 0 on a complex plane
More About Real Axis
Real axis is the X-axis on a complex plane or Argand diagram
Example of Real Axis
In the above figure, the X-axis is known as the real axis whereas the Y-axis is known as the imaginary axis.
Video Examples: Real Axis
Solved Example on Real Axis
Ques: Identify the graph that represents the point P on the real axis.
Choices:
A. Graph 1
B. Graph 3
C. Graph 2
D. none of the above
Correct Answer: C
Solution:
Step 1: Real axis is the X-axis of a complex plane or Argand diagram.
Step 2: From the graphs given above, the graph that represents the point P on the real axis is the graph 2 and the graphs 1 and 3 represents the point P on the
imaginary axis.
Step 3: Hence Graph 2 represents the point P on the real axis.
Quick Summary
- The real axis is the x-axis on the complex plane.
- Points on the real axis have an imaginary part of zero.
- The real axis is used to represent real numbers within the complex plane.
🍎 Teacher Insights
Use visual aids such as the Argand diagram to illustrate the real axis. Emphasize that any real number can be plotted on the real axis of a complex plane.🎓 Prerequisites
- Complex Numbers
- Cartesian Plane
- Imaginary Numbers
Check Your Knowledge
Q1: Which of the following points lies on the real axis?
Q2: The real axis corresponds to which axis on the Cartesian plane?
Frequently Asked Questions
Q: What is the difference between the real axis and the imaginary axis?
A: The real axis represents real numbers on the complex plane (x-axis), while the imaginary axis represents imaginary numbers (y-axis).
Q: Is zero on the real axis?
A: Yes, zero is a real number and therefore lies on the real axis.