Number of Tangents from a Point on a Circle A tangent is a line segment that touches a circle at exactly one point. In other words, it is a line that inters...
Number of Tangents from a Point on a Circle
A tangent is a line segment that touches a circle at exactly one point. In other words, it is a line that intersects the circle at a single point. The number of tangents from a point on a circle to a circle is infinite, as there could be an infinite number of lines passing through that point.
Key Points:
A tangent from a point P to a circle C intersects C at exactly one point.
The distance from the center of C to any point on the tangent is equal to the radius of C.
The number of tangents from a point P to a circle is infinite.
The distance from the center of C to any point on a tangent is equal to the radius of C.
Examples:
Consider a circle with radius 1. The tangent from point A to circle C would intersect C at two distinct points.
Consider a circle with radius 2. The tangent from point B to circle C would intersect C at only one point.
Consider a circle with radius 3. The tangent from point C to circle C would intersect C at an infinite number of points