(a) The locus of a point equidistant from a fixed point is a circle with the fixed point as centre.
(b) The locus of a point equidistant from two interacting lines is the bisector of the angles between the lines.
(c) The locus of a point equidistant from two given points is the perpendicular bisector of the line joining the points.
The locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.
In triangle LMN, bisectors of interior angles at L and N intersect each other at point A. prove that:
(i) Point A is equidistant from all the three sides of the triangle.
(ii) AM bisects angle LMN.
Describe the locus for questions 1 to 13 given below:
1. The locus of a point at a distant 3 cm from a fixed point.
In parallelogram ABCD, side AB is greater than side BC and P is a point in AC such that PB bisects angle B.
Prove that P is equidistant from AB and BC.
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