Chapter 6.5, Problem 5E

To determine

The points that represent a complex number and its complex conjugate are _______ of each other in the real axis.

Answer to Problem 5E

Conjugate

Explanation of Solution

The points that represent a complex number and its complex conjugate are conjugate of each other in the real axis.

Example:

Let $(a,b)\text{and}(a,-b)$ be a point and its respective conjugate in the complex plane.

Writing the above points in complex number form,

  $\begin{array}{l}(a,b)=a+bi\\ (a,-b)=a-bi\end{array}$

From above, it is clear that, both complex numbers are conjugate of each other.