1.

Let ω=eiπ3, and a,b,c,x,y,z be non-zero complex number such thata+b+c=xa+bω+cω2=ya+bω2=cωThen the value of |x|2+|y|2+|z|2|a|2+|b|2+|c|2 is

Answer» Let ω=eiπ3, and a,b,c,x,y,z be non-zero complex number such that

a+b+c=x

a+bω+cω2=y

a+bω2=cω

Then the value of |x|2+|y|2+|z|2|a|2+|b|2+|c|2 is


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