If a,b,c are three distinct real numbers and ω ≠ 1 is a complex cube root of unity, then…

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

If a,b,c are three distinct real numbers and ω ≠ 1 is a complex cube root of unity, then the value of \(\left|\frac{a+b \omega+c \omega^{2}}{a \omega^{2}+b+c \omega}\right|\) is
  1. \(0\)
  2. \(1\)
  3. \(\omega\)
  4. \(\omega^2\)

Answer

(B) 1

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