Three points A(0,34),B(−1,0),C(1,0) are given. The distance from P to line BC is the geometric mean of that from P to lines AB and AC.
(a) Find the path equation of point P.
(b) If line L passes D (D is the incenter of △ABC ), and it has three common points with the path of P, find the range value of slope k of line L. geometryincenteranalytic geometrygraphing linesslope