Find the geometric locus of points equidistant from three gi

Find the geometric locus of points equidistant from three given infinite straight lines, intersecting pairwise.

Solution

the locus of the point P which equi distance from the given three infinite lines which are intersecting pair wise is a circle since let P be the given point and the equdistance poits be the A,B,C on the stright lines then

PA=PB=PC which leads to the condition that circle.