Complex Locus Problem (1 Viewer)

[Octagon]

Describe the locus defined by
|z|²-2iz+2t(1+i)=0
where z=x+iy and x, y and t are real numbers
For what values of t can x and y be found so that z satisfies the given condition?
Thank you very much!

 

[pokka]

 

[Octagon]

Sorry, i am still a little bit confused. I dont get why we are equating the real parts to zero.

 

[pokka]

Ok well zero can also be written as 0+0i, right? This basically means that real part is equal to zero and imaginary part is equal to zero as well.