Toronto Math Forum

MAT334-2018F => MAT334--Lectures & Home Assignments => Topic started by: Lindsay Chown on September 19, 2018, 02:18:57 PM

Title: Section 1.2 question 4
Post by: Lindsay Chown on September 19, 2018, 02:18:57 PM
$\renewcommand{\Im}{\operatorname{Im}}$
For question 4 in section 1.2, describe locus of points $z$ satisfying the given equation $\Im(2iz) = 7$.   I ended up with something like $\Im(2ix-2y) = 7$. So, $2x = 7$.  Would that mean that it is a point at $x = 7/2$? 

Is $x=c$ a point on $\mathbb{C}$? V.I.
Title: Re: Section 1.2 question 4
Post by: Vedant Shah on September 20, 2018, 11:55:52 AM
$\{x+iy\colon x=c\}$ is not a point the plane, it is a set of points (a vertical line).