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Mathematics · 2018

JEE Main 2018 · 2018-04-08 Offline · Q63

If α, β ∈ C are the distinct roots, of the equation x^2-x+1=0, then α^101+β^107 is equal to:

If $\displaystyle \alpha, \beta \in \mathrm{C}$ are the distinct roots, of the equation $\displaystyle x^2-x+1=0$, then $\displaystyle \alpha^{101}+\beta^{107}$ is equal to :
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.