Locus

Maths: Edexcel GCSE Higher, topic 4.17.4

Locus of Points

A locus is a line of points (or an area) that all fit some rule.

Locus of points a fixed distance from a point

Locus of points a fixed distance from a point

  • The locus of points a fixed distance from a given point forms a circle and can be drawn using a compass centred on the point.
Locus of points a fixed distance from a line

Locus of points a fixed distance from a line

  • The locus of points a fixed distance from a given line forms an oval.
  • The straight sides are drawn with a ruler, parallel to the original line at the distance required and the ends are drawn with a compass put at the end of the line.

Test yourself on Locus

  • The locus of points from a single point creates what shape?

  • The locus of points at a fixed distance from a straight line forms what shape?

  • Is this the locus of points for a straight line or a single point?

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