Thursday, March 15, 2012

What is Locus?

Locus Point: the setof all points that satisfy a given condition. A general graph of a given equation.

Two Fixed points; a line through the middle of the points. Perpendicular Bisector
One Line; two parallel lines on opposite sides of the original line
One Point; forms a circle
Two Intersecting Lines; two intersecting lines halfway between the two original lines

  • The Locus of points equidistant from a single point is a set of points, equidistant from the point in every direction.
  • The Locus of points equidistant from two points is the perpendicular bisector of the line segment connecting the two points.
  • The Locus of points equidistant from a line are two lines, on opposite sides, equidistant and parallel to that line.
  • The Locus of points equidistant from two parallel lines i another line, halfway between both lines, and parallel to each of them.
Loucs Rule:
  1. 1 Point- Circle
  2. 2 Points- 1 Line
  3. 1 Line- 2 Lines
  4. 2 Lines- 1 Line
  5. 2 Intersecting- 2 other intersecting

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