number of tangents to a circle
We can see a circle in black color and points A and B (from which tangents are drawn to the circle). We can freely move both A and B. B always lies on the circumference of the circle and A can be moved anywhere on the plane. Move these points A and B and see how the number of tangents which can be drawn depends upon the positions of these points.
Questions to think about
1. What is the difference in the number of tangents which can be drawn from the points A and B when A lies inside the circle?
2. What is the difference in the number of tangents which can be drawn from the points A and B when A lies outside the circle?