Solve a problem involving complex numbers

Click For Summary

Homework Help Overview

The discussion revolves around a problem involving complex numbers, specifically focusing on the geometric representation of circles in the Argand plane. Participants are exploring properties of a circle defined by its center and radius, and how it relates to the origin and other points in the complex plane.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the center and radius of the circle, with some questioning the accuracy of the coordinates provided. There are attempts to calculate distances from the origin to the circle and to determine angles related to the argument of complex numbers. Some participants suggest sketching the circles for better visualization.

Discussion Status

The discussion is active, with various interpretations of the problem being explored. Some participants have offered guidance on how to approach the calculations and geometrical relationships, while others are clarifying misunderstandings about the properties of the circle and the angles involved.

Contextual Notes

There are indications of confusion regarding the coordinates of the circle's center and the implications of the plotted scale on the axes. Participants are also considering the analytical methods for solving the problem, including derivatives and Lagrange multipliers, while noting the constraints of the problem setup.

  • #31
It is all about a ## 30^\circ-60^\circ-90^\circ ## triangle whose three angles are in the ratio ## 1:2:3 ## and whose three sides are in the ratio ## 1:\sqrt 3:2 ##. This triangle and its reflection over the hypotenuse form a right kite with two other angles of ## 60^\circ ## and ## 120^\circ ##.
 
  • Like
Likes   Reactions: chwala

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
7
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
2
Views
3K
Replies
7
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 9 ·
Replies
9
Views
6K
  • · Replies 18 ·
Replies
18
Views
3K