Let z 0 be a root of the quadratic equation, x 2 + x + 1 = 0. If z = 3 + 6i z0 81 – 3i z0 93, then arg z is equal to:

Question:
Let $z_{0}$ be a root of the quadratic equation, $x^{2}+x+1=0$. If $z=3+6 i z_{0}^{81}-3 i z_{0}^{93}$, then $\arg z$ is equal to:

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.

JEE Main Previous Year Jan. 09, 2019 (II)

Solution: