From GeoGebra Manual
Use "Point Tool" for intersection
There is an other possibility to get an intersection point of two objects:
- Use the Point Tool and click directly on the (not yet existing) intersection point.
This is a possibility to get only one of two intersections of two circles, so that you have one point less. But it is not always working as wanted.
|Try to change the option of the continuity behaviour of GeoGebra, if the selected intersection point position does not behave as wanted. Some more information here|