The Relation between a Circle and a Line in a Plane
For a circle and a line on a plane, there can be three possibilities.
i) they can be non-intersecting
ii) they can have a single common point: in this case, the line touches the circle.
iii) they can have two common points: in this case, the line cuts the circle.
(i) Non intersecting
1. Non-intersecting Line
When a line and a circle have no common point then it is called a Non-intersecting Line with respect to the circle.
When a line intersects a circle in such a way that there are two common points then that line is called Secant.
When a line touches the circle in such a way that they have only one common point then that line is called a Tangent. That common point is called the point of contact.