[JEE Advanced 2013] let w sqrt 3 i 2 p w n n 1 h 1 re
Let $w=\frac{\sqrt3+i}2$, $P=\{w^n:n\ge1\}$, $H_1=\{\operatorname{Re}z>\frac12\}$, $H_2=\{\operatorname{Re}z<-\frac12\}$. For $z_1\in P\cap H_1$, $z_2\in P\cap H_2$, $O$ the origin, $\angle z_1Oz_2$ can be
(a) $\frac\pi2$
(b) $\frac\pi6$
(c) $\frac{2\pi}3$
(d) $\frac{5\pi}6$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
▲ 0
Correct answer: (c) $\frac{2\pi}3$
$w=e^{i\pi/6}$; $z_1$ is at $0^\circ$ or $\pm30^\circ$, $z_2$ at $150^\circ$ or $210^\circ$. The angle between them can be $\frac{2\pi}3$ or $\frac{5\pi}6$.
JEE Advanced 2013 · Complex Numbers — verified solution by the Vidaara Team.
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.