In this tutorial I look at the locus of a point that moves along a half line.

Equation of a half line has the form:

  • arg(z - z_1) = \theta \text{ which represents a half-line from the fixed point } z_1  \text{ making an angle } \theta \\ \\ \text{with a line from the fixed point } z_1 \text{  parallel to the real axis.}

You are given an example to try during the video with the usual worked solution.

Complex Numbers - Loci : Half-lines : ExamSolutions Maths Video Tutorials - youtube Video