Which of the following is always true if two circles have exactly three common tangents?
Show answer & explanation
Correct answer: C
Explanation
Common tangents to two circles = 3
Number of tangents:
4 ⇒ Distinct
3 ⇒ Touching externally
2 ⇒ Touching internally
0 ⇒ One inside the other
3 tangents ⇒ The circles touch externally