Find a connection how the real part of z depends on the imaginary part, if the following two conditions for the complex number z apply:
|z|=k, where k is a real number.
The real part and the imaginary part of z are positive?
This is what I think: If the complex number z is z=a+ib then the absolute value is |z|=sqrt(a^2+b^2)=k
If a and b or a or b were negative, the absolute value would still be positive.
Am I anywhere near the answer?
Appreciate your help.