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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding the locus of points for complex analysis

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**