If is complex cube root of unity and a, b, c are three real numbers such that array l 1…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If \(\omega\) is complex cube root of unity and a, b, c are three real numbers such that
\[\begin{array}{l} \frac{1}{a+\omega}+\frac{1}{b+\omega}+\frac{1}{c+\omega}=2 \omega^{2} \text { and } \\ \frac{1}{a+\omega^{2}}+\frac{1}{b+\omega^{2}}+\frac{1}{c+\omega^{2}}=2 \omega \end{array}\]
then the value of \(\frac{1}{\mathrm{a}+1}+\frac{1}{\mathrm{~b}+1}+\frac{1}{\mathrm{c}+1}\)is
- 2
- 0
- 3
- None of these
Answer
(B) 0
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