Question

A complex number 21 is plotted below. Plot its complex conjugate, 21.Im86-4-2A++-8 -61-424+++ Re6 2 8-4-6-8

Answer 1

Step 1

Given;

$\begin{gathered} A\text{ plotted complex number;} \\ z_1 \\ \end{gathered}$

Required; To find the complex conjugate

$\bar{z}_1$

Step 2

Find the complex conjugate

The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.

Hence, from the plot the complex number is;

$\begin{gathered} 7+0i=7 \\ \text{This is because the plot lies on the x-axis and the corresponding y-axis is }0 \end{gathered}$

The complex conjugate hence will be;

$\begin{gathered} 7-0i=7 \\ \text{Therefore the required complex conjugate = 7} \end{gathered}$

Hence

$\bar{z}_1=_{}7$