Common External Tangent
Definition of Common External Tangent
A tangent that is common to two circles and does not intersect the segment joining the centers of the circles is called Common External Tangent.
More About Common External Tangent
A common tangent can either be a common external tangent or a common internal tangent.
Video Examples:How to Construct a Common Tangent of Two Circles : Math Instructi
Example of Common External Tangent
In the above figure, line PQ is the common external tangent.
In the above figure, line AB is the common external tangent.
Solved Example on Common External Tangent
Identify the common external tangent from the given figure.
D. none of the above
Correct Answer: B
Step 1: A tangent that is common to two circles and does not intersect the segment joining the centers of the circles is called common external tangent.
Step 2: In the given figure, the line CD touches both the circles on the same side of the line is the external tangent to the circle.
Step 3: So, CD is the common external tangent line.