Find a point that best fits criteria
For example, if I have a circle with diameter AB and I want a point P such that AP/BP = 2.
I know this particular example could be done with some geometric properties, but I want a generalized way to do this. Like find a point on a parabola such that the ratio of distance from circle w_1 and w_2 is 11/3 or something.
I just want GeoGebra to test like a million points and find the best one. Is there a way to do this?