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Complex Numbers question

2024 · 30 Jan · Shift 2 · Q35
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  5. /2024 · 30 Jan · Shift 2 · Q35

Complex Numbers question

2024 · 30 Jan · Shift 2 · Q35

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If zzz is a complex number, then the number of common roots of the equations z1985+z100+1=0z^{1985}+z^{100}+1=0z1985+z100+1=0 and z3+2z2+2z+1=0z^3+2 z^2+2 z+1=0z3+2z2+2z+1=0, is equal to
  1. A
    0
  2. B
    2
  3. C
    1
  4. D
    3
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