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Loci in Two Dimensions
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.
Chapter : Loci in Two Dimensions
Topic : Loci in Two Dimensions
Form 3
Mathematics
View all notes for Mathematics Form 3
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