Given an isosceles triangle ABC (AB=AC), the inscribed circle ω touches its sides AB and AC at points K and L, respectively. On the extension of the side of the base BC, towards B, an arbitrary point M. is chosen. Line M intersects ω at the point N for the second time, line BN intersects the second point ω at the point P. On the line PK, there is a point X such that K lies between P and X and KX=KM. Determine the locus of the point X. geometryLocusincircleisosceles