Rotation theorem in complex planeHard

Geometry of Complex Numbers

Let O be the origin, the point A be z₁ = $\sqrt 3 {\text { }} + 2\sqrt 2 i$ , the point B(z₂) be such that $\sqrt 3 \left| {{z_2}} \right| = \left| {{z_1}} \right|$ and arg(z₂) = arg(z₁) + $\frac{\pi }{6}$ . Then

SELECT ONE OPTION

Ask about this question