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Complex Numbers question

2018 · Shift 0 · Q29
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  5. /2018 · Shift 0 · Q29

Complex Numbers question

2018 · Shift 0 · Q29

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If α,β∈C\alpha ,\beta \in Cα,β∈C are the distinct roots of the equation x2 - x + 1 = 0, then α101+β107{\alpha ^{101}} + {\beta ^{107}}α101+β107 is equal to :
  1. A
    2
  2. B
    -1
  3. C
    0
  4. D
    1
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