# Thread: Equation in complex notation

1. ## Equation in complex notation

Not sure if this is the correct forum, but here goes...

Write the equation of the given circle or straight line in complex notation:

a) The straight line through 1 and -1-i

b) The vertical line containing -3-i

c) The circle through 1, i and 0

I don't necessarily need you guys to work these out for me. I assume there must be formulas to following when working with lines and circles but I can't find anything in my notes or book. Please HELP!! Thanks.

2. Originally Posted by jzellt
Not sure if this is the correct forum, but here goes...

Write the equation of the given circle or straight line in complex notation:

a) The straight line through 1 and -1-i

b) The vertical line containing -3-i

c) The circle through 1, i and 0

I don't necessarily need you guys to work these out for me. I assume there must be formulas to following when working with lines and circles but I can't find anything in my notes or book. Please HELP!! Thanks.
Remember that a complex number $\displaystyle z$ is written as $\displaystyle x + iy$.

So treat the real part of each complex number as the $\displaystyle x$ value and the imaginary part of each complex number as the $\displaystyle y$ value.

Then you can use the standard methods that you should already be familiar with.