Complex Loci Question

Hi, could some please explain the process for the following:

Given arg((z+2)/(z-2i)) = pi/4, show -2i lies in the locus

Is it a case of converting to cartesian or is it something far simpler such as subbing in?

Thanks

We have

http://latex.codecogs.com/png.latex?...+\dfrac{1}{2}i

so,

http://latex.codecogs.com/png.latex?...\dfrac{\pi}{4}

Brilliant and makes absolute sense

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Originally Posted by robertbrooks

Brilliant

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I don't agree.

Quote:

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and makes absolute sense

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I agree. :)