‌=zz−iz−iz−1=zz+zi+iz−1 ‌=z+z=0 ‌=2x=0 ‌=x=0(y-axis) ‌|z|=1 ‌∴‌‌z=i‌‌(z≠−i‌ is given ‌) Statement 1 is incorrect ‌‌
z−i
z+i
+‌
z−1
z+1
=0 ‌=zz−z+z−1+zz−z+z−1=0 ‌=zz=1 ‌=|z|=1 Statement 2 is correct