Q47 / 160 · AP EAMCET 2018 (24 Apr Shift 2) · Mathematics

If $\omega$ is a complex cube root of unity and $a, b, c$ are distinct real numbers, then $$ \frac{a+b \omega+c \omega^2}{c+a \omega+b \omega^2}+\frac{a+b \omega+c \omega^2}{b+c \omega+a \omega^2}= $$

  • A
    1
  • Correct answer
    B
    -1
  • C
    $a+b+c$
  • D
    0

Hence, the correct answer is option: 'B'.

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