Chapter 6, Problem 109RE

To determine

To find the mid-point of the line segment joining the points corresponding to the complex numbers $1+i,4+3i$ .

Answer to Problem 109RE

The mid-point of the line segment joining the points corresponding to the complex numbers $1+i,4+3i$ is $\left(\frac{5}{2},2\right)$

Explanation of Solution

Given information :

Given complex number $1+i,4+3i$

The mid-point of the line segment joining the points corresponding to the complex numbers $a+ib,c+di$ is $\left(\frac{a+c}{2},\frac{b+d}{2}\right)$

Similar way, the mid-point of the line segment joining the points corresponding to the complex numbers $1+i,4+3i$ is $\left(\frac{1+4}{2},\frac{1+3}{2}\right)=\left(\frac{5}{2},2\right)$

Hence, $\left(\frac{5}{2},2\right)$ is the mid-point of the line segment joining the points corresponding to the complex numbers $1+i,4+3i$ in the complex plane.