In this tutorial I look at the locus of a point which is equidistant from two fixed points A and B in the complex plane by considering the following equation.

Equation of a perpendicular bisector has the form:

  • \left| {z - {z_1}} \right| = \left| {z - {z_2}} \right| \text{ where }{z_1} \text{ and } {z_2} \text{ are the fixed points}

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

Complex Numbers - Loci : Perpendicular bisector : ExamSolutions Maths Video Tutorials - youtube Video