1) Let ω=eiπ/3 and a,b,c,x,y,z be non zero complex numbers such that a+b+c=x, a+bω+cω2=y,a+bω2+cω=z then the value of |x|2+|y|2+|z|2|a|2+|b|2+|c|2 is A) 3 B) 5 C) 4 D) 6 Answer: Option AExplanation: Here, ω=e12π/3, then only integer solution exists Then |x|2+|y|2+|z|2|a|2+|b|2+|c|2=3