Shaalaa.com | Loci Part 1
Given: PQ is perpendicular bisector of side AB of the triangle ABC.
Prove: Q is equidistant from A and B.
The locus of the centres of a given circle which rolls around the outside of a second circle and is always touching it.
The locus of the centres of all circles that are tangent to both the arms of a given angle.
The locus of points within a circle that are equidistant from the end points of a given chord.
Given: AX bisects angle BAC and PQ is perpendicular bisector of AC which meets AX at point Y.
Prove: (i) X is equidistant from AB and AC.
(ii) Y is equidistant from A and C.