The ratio of line segments [math]\frac{AP}{BP}[/math] is a constant, what is the locus [i][math]P[/math][/i]?

This is analogies to [math]|z-z_A|=k|z-z_B|[/math] in Pearson IAL FP2[br][br]What if [b]other constraints[/b] are imposed? See this Geogebra Applet for more[br]https://www.geogebra.org/m/w3ytzssb