Given Z_{1 }and Z_{2}are two distinct complex numbers.

If |Z_{1}| = |Z_{2}|, then Re = 0

Is the above statement true or false?

Show working to justify your answer.

i managed to worked it out by letting z1= a+jb and z2= x+jy and then sub it in to work out and got true, not sure if i'm correct. Help is much appreciated