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Let =e^ i / 3 and a, b, c, x, y, z be non-zero complex numbers such that a+b+c=x, a+b +c ^2=y, a+b ^2+c =z . Then, the value of |x|^2+|y|^2+|z|^2 |a|^2+|b|^2+|c|^2 is

Correct answer

0

Step-by-step solution

Here, =e^ i 2 / 3 , then only integer solution exists. Then, |x^2 |+ |y^2 |+ |z^2 | |a^2 |+ |b^2 |+ |c^2 | =3

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