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Let omega= e^((ipi)/3) and a, b, c, x,...

Let ` omega= e^((ipi)/3) and a, b, c, x, y, z` be non-zero complex numbers such that `a+b+c = x, a + bomega + comega^2 = y, a + bomega^2 + comega = z`.Then, the value of `(|x|^2+|y|^2|+|y|^2)/(|a|^2+|b|^2+|c|^2)`

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The correct Answer is:
3

Priniting error `=e^i(2pi)/(3)`
Then, `(|x^2|+|y|^2+|z|^2)/(|a|^2+|b|^2+|c|^2)=3`
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IIT JEE PREVIOUS YEAR-COMPLEX NUMBERS-TOPIC 5 DE-MOIVRES THEOREM,CUBE ROOTS AND nth ROOTS OF UNITY (INTEGER ANSWER TYPE QUESTION)
  1. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

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