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Complex Numbers question

2019 · 9 Jan · Shift 1 · Q41
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  2. /JEE Main
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  5. /2019 · 9 Jan · Shift 1 · Q41

Complex Numbers question

2019 · 9 Jan · Shift 1 · Q41

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let α\alphaα and β\betaβ be two roots of the equation x2 + 2x + 2 = 0 , then α15\alpha ^{15}α15+β15\beta ^{15}β15 is equal to :
  1. A
    -256
  2. B
    512
  3. C
    -512
  4. D
    256
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