Locus Of Two DimensionsLocus Of Two Dimensions

A locus is a set of points that satisfy A locus is a set of points that satisfy a given condition.a given condition.

It is also the path of a moving object It is also the path of a moving object that satisfy a given condition.that satisfy a given condition.

Locus In Two DimensionalLocus In Two Dimensional

Locus of a points that are Locus of a points that are constant distance from a constant distance from a fixed pointfixed point..

Example :Example :Sketch a locus of point Sketch a locus of point XX that is that is alwaysalways ( (constantconstant) 3 cm ) 3 cm

from from OO..

O 3 cm

Locus of X

Locus of a point that are Locus of a point that are equidistant from two fixed equidistant from two fixed pointspoints..

Example :Example :

Two points Two points XX and and YY are 6 cm apart. Construct the locus of are 6 cm apart. Construct the locus of point point PP equidistance from equidistance from XX and and YY..

Locus In Two DimensionalLocus In Two Dimensional

6 cmX Y

Locus of P

Locus P is the perpendicular bisector of line XY

Locus of points that are at aLocus of points that are at a constant distance from a constant distance from a

straight linestraight line. . Example :Example :

Construct a locus of point Construct a locus of point TT that is 2 cm from that is 2 cm from PQPQ..

Locus In Two DimensionalLocus In Two Dimensional

P Q

2 cm

2 cm

Locus of T

Locus of points that are Locus of points that are equidistant from two equidistant from two intersecting linesintersecting lines..

Example : Example :

Two lines Two lines ABAB and and CDCD intersect at point intersect at point OO. construct the locus . construct the locus of point T such that it is always equidistant from of point T such that it is always equidistant from ABAB and and CD.CD.

Locus In Two DimensionalLocus In Two Dimensional

A

BC

D

O

C

A

O

Locus of point Locus of point TT such that is such that is always equidistant always equidistant AOAO

and and COCO. .

Locus In Two DimensionalLocus In Two Dimensional

B

D

O

C

A

O

Locus of T

ABCD is a square with sides 2 cm long. Construct ABCD is a square with sides 2 cm long. Construct a locus of point X that is equidistant from AD and a locus of point X that is equidistant from AD and DC.DC.

Locus In Two DimensionalLocus In Two Dimensional

A B

C D

Locus of T