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Loci in Two Dimensions

8.2  Loci in Two Dimensions
 
Locus of points that are of constant distance from a fixed point:
 

 
  • The locus of a point that is equidistant from a fixed point is a circle centered at that fixed point.
  • Points marked at the same distance from a fixed point \(O\) forms a circle.
  • A point that always moves at the same distance from a fixed point forms a circle.
 
Locus of points that are equidistant from two fixed points:
 

 
  • The locus of a point that is equidistant from two fixed points is the perpendicular bisector of the line connecting the two fixed points.
  • The two points of intersection are connected with a straight line.
 
Locus of points that are of constant distance from a straight line:
 

 
  • The locus of points that are of constant distance from a straight line is straight lines parallel to that straight line.
 
Locus of points that are equidistant from two parallel lines:
 

 
  • The locus of points that are equidistant from two parallel lines is a straight line parallel to and passes through the midpoints of the pair of parallel lines.
 
Locus of points that are equidistant from two intersecting lines:
 

 
  • The locus of points that are equidistant from two intersecting lines is the angle bisector of the angles formed by the intersecting lines.
 
The views expressed in the notes here are those of the contributor and don’t necessarily represent the views of pandai.

Loci in Two Dimensions

8.2  Loci in Two Dimensions
 
Locus of points that are of constant distance from a fixed point:
 

 
  • The locus of a point that is equidistant from a fixed point is a circle centered at that fixed point.
  • Points marked at the same distance from a fixed point \(O\) forms a circle.
  • A point that always moves at the same distance from a fixed point forms a circle.
 
Locus of points that are equidistant from two fixed points:
 

 
  • The locus of a point that is equidistant from two fixed points is the perpendicular bisector of the line connecting the two fixed points.
  • The two points of intersection are connected with a straight line.
 
Locus of points that are of constant distance from a straight line:
 

 
  • The locus of points that are of constant distance from a straight line is straight lines parallel to that straight line.
 
Locus of points that are equidistant from two parallel lines:
 

 
  • The locus of points that are equidistant from two parallel lines is a straight line parallel to and passes through the midpoints of the pair of parallel lines.
 
Locus of points that are equidistant from two intersecting lines:
 

 
  • The locus of points that are equidistant from two intersecting lines is the angle bisector of the angles formed by the intersecting lines.
 
The views expressed in the notes here are those of the contributor and don’t necessarily represent the views of pandai.
Chapter : Loci in Two Dimensions
Topic : Solve problems involving loci
Form 3 Mathematics
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