Author Topic: Section 1.2 question 4  (Read 815 times)

Lindsay Chown

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Section 1.2 question 4
« 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.
« Last Edit: September 19, 2018, 02:58:51 PM by Victor Ivrii »

Vedant Shah

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Re: Section 1.2 question 4
« Reply #1 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).
« Last Edit: September 20, 2018, 12:26:16 PM by Victor Ivrii »