MAT334-2018F > Quiz-1

Q1: TUT 0203

(1/1)

**Victor Ivrii**:

$\renewcommand{\Re}{\operatorname{Re}}

\renewcommand{\Im}{\operatorname{Im}}$

Write (in complex number notation) the equation of the the circle through $0$, $2+2i$, and $2 - 2i$.

**Ge Shi**:

Since the circle through 0, 2+2i, 2-2i,

It means that the circle through (0,0), (2,2) and (2,-2)

thus, the equation of this circle in complex form is |z-2|=2

**Vedant Shah**:

This is the circle centered at $z_0=2$ with radius 2.

In other words, it is the set of points 2 units away from $z_0 = 2$. The distance of a given point, $z$, from $z_0$ is:

$d=|z-z_0|$

Thus the equation of this circle is:

$|z-2| = 2$

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