I think this should probably be easy, but I am stuck. My book is of no help.(adsbygoogle = window.adsbygoogle || []).push({});

Find and describe the locus of points z satisfying the given equations:

1. |z-i|=Re z

2. |z-1|^2 =|z+1|^2 +6

I am thinking for the 1st one that I have to square both sides, but then what? What happens to Re z?

For the second one, I am totally lost. My first instinct would be to take the square root of both sides...and then...?

Thanks to all.

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# Finding the locus of points for complex analysis

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