A relation R on the set of complex numbers defined by Z1RZ2⇔Z1−Z2Z1+Z2 is real then which of the following is not true

Given z1,z2∈R⇔z1−z2z1+z2  is real number Clearly R is reflexive, because z1,z1∈R,Because z1−z1z1+z1=0 is a real number  Clearly R is symmetric because z1,z2∈R⇔z2,z1∈RR is transitive also because z1,z2,z2,z3∈R ⇒z1,z3∈R Therefore, the relation is equivalence relation The correction option is fourth option