GCSE Maths (AQA)
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Locus from Points
- Loci are sets of points that satisfy certain conditions
- The locus of points that are a constant distance from another point is a circle
- The locus of points that are an equal distance from two points is the perpendicular bisector of the line between the two points
- The perpendicular bisector gives the locus of points the same distance from both points
- The locus of points that are less than a certain distance away from a point is the region defined by a circle
- The region inside the circle forms the locus of points that are less than a certain distance away from the point in the middle
- It is possible to combine the conditions of two loci to form another, more specific locus
- To find the locus of points for combined conditions, draw the perpendicular bisector and an arc from the second point
- Shade the region between the arc and the perpendicular bisector to represent the locus of points for the combined conditions
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