The points P,Q are given on the plane, which are the points of intersection of the angle bisector AL of some triangle ABC with an inscribed circle, and the point W is the intersection of the angle bisector AL with a circumscribed circle other than the vertex A.
a) Find the geometric locus of the possible location of the vertex A of the triangle ABC.
b) Find the geometric locus of the possible location of the vertex B of the triangle ABC. geometrycircumcircleincircleangle bisectorLocus