If z1 and z2 are two non-zero complex numbers such that z2z1+zˉ2zˉ1=2 and z2z1−zˉ2zˉ1=2i (where zˉ denotes conjugate complex of z and i=−1 ), then identify the correct statements.
(A) Origin z1 and z2 forms a right angled triangle at z2 .
(B) Origin z1 & z2 forms a right angled triangle at origin.
(C) ∣z1∣=∣z2∣
(D) ∣z2∣=∣z1−z2∣ .