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JEE Main 2019 · 9 Jan · Shift II

JEE Main 2019 Mathematics question on Complex Numbers and Quadratic Equations

Let z0z_0 be a root of the quadratic equation, x2+x+1=0x^2 + x + 1 = 0. If z=3+6iz081−3iz093z = 3 + 6iz_0^{81} - 3iz_0^{93}, then arg zz is equal to
  1. A.
    π4\dfrac{\pi}{4}
  2. B.
    π6\dfrac{\pi}{6}
  3. C.
    00
  4. D.
    π3\dfrac{\pi}{3}
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Correct option: A

[JEE Main 2019 · 9 Jan · Shift II]

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