1problem no. 2:
let x,y,z be three distinct complex numbers lying on a circle with centre at origin such that x+yz,y+zx,z+xy are real numbers,then xyz=___.
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11problem-3:
if |zi|=1 for i=1,2,3 and (sigma z1)=√(2+i) prove that imaginary part of [sigma (z1*conjugate of z2)] is non-zero!