Lesson: Loci in the Complex Plane Using the Modulus Mathematics

Students will be able to

• describe loci of points constrained by conditions on their moduli geometrically,
• describe loci of points constrained by conditions on their moduli algebraically,
• apply the fact that the locus of a point that satisfies is a circle of radius ,
• apply the fact that the locus of a point that satisfies is the perpendicular bisector of the line segment joining and ,
• apply the fact that the locus of a point that satisfies , where , , is a circle,
• apply the fact that the locus of a point that satisfies , where , is an ellipse with foci and with a major axis of length .