jee-main 2019 Q63

jee-main · India · session1_09jan_shift2 Complex Numbers Arithmetic Roots of Unity and Cyclotomic Expressions
Let $z_0$ be a root of quadratic equation, $x^2 + x + 1 = 0$. If $z = 3 + 6iz_0^{81} - 3iz_0^{93}$, then $\arg(z)$ is equal to:
(1) 0
(2) $\frac{\pi}{4}$
(3) $\frac{\pi}{6}$
(4) $\frac{\pi}{3}$
Let $z_0$ be a root of quadratic equation, $x^2 + x + 1 = 0$. If $z = 3 + 6iz_0^{81} - 3iz_0^{93}$, then $\arg(z)$ is equal to:\\
(1) 0\\
(2) $\frac{\pi}{4}$\\
(3) $\frac{\pi}{6}$\\
(4) $\frac{\pi}{3}$