JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

1, \omega

and

\omega^2

are the three cube roots of unity and

\alpha, \beta

and

\gamma

are the roots of

p, p < 0

, then for any

x, y

and

z

, the expression

\frac{x \alpha+y \beta+z \gamma}{x \beta+y \gamma+z \alpha}

equals

View answer and explanation

Correct option: C

\omega^2

Option C (

\omega^2

) is correct because by substituting the cube roots of unity and simplifying the expression, it reduces to

\omega^2

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