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原帖由 妙妙貓 於 2022-3-24 04:06 AM 發表
I have no idea how to really do this question at all
I separated it into Arg(z-1) - Arg(z+1) = pi/4 and I realise that the locus is an arc of a circle, but not sure how to find the cartesian equati ...
Okay, so you know it's an arc of a circle, that's good. Hopefully you've drawn yourself an Argand diagram.
Your goal is now to find the center and radius of the circle.
Hint: angle at center = 2 x angle at circumference is _very_ useful here.
I'll let you fill in the intermediate steps.
The last step is to determine a range of x or y, so to limit the entire circle to just the required arc.