If z is a complex number such that `|z+1/z|=1` show that `Re(z)=0` when `|z|` is the maximum.

If z is a complex number such that |z-1|= |z+1| , show that Re(z)= 0

If z is a complex number such that Re (z) = Im(z), then

If z is a complex number such that Re(z)=Im(z) , then

If z is a complex number such that Re(z)=Im(2), then

If z is a complex number such that Re (z) = Im (z), then :

If z is a complex numbers such that z ne 0 and "Re"(z)=0 , then

for a complex number z, Show that |z|=0 z=0

State true of false for the following: If z is a complex number such that z ne0 and Re(z)=0 then 1_(m)(z^(2))=0