MathDB
Complex Plane

Source: 1984 National High School Mathematics League, Exam One, Problem 1

February 22, 2020

Problem Statement

On complex plane, what figure does the set {Z‾2∣arg⁡Z=α,α∈[0,2π)}\{ \overline{Z}^2|\arg Z=\alpha,\alpha\in[0,2\pi)\} stands for? (A)\text{(A)} half-line arg⁡Z=2α\arg Z=2\alpha (B)\text{(B)} half-line arg⁡Z=−2α\arg Z=-2\alpha (C)\text{(C)} half-line arg⁡Z=α\arg Z=\alpha (D)\text{(D)} None above
Back to ProblemsView on AoPS