Consider the following two statements, labeled Assertion (A) and Reason (R). Evaluate them and choose the appropriate answer from the given options.
Assertion (A): Two non-intersecting and non-touching circles have four common tangents.
Reason (R): Two direct and two transverse tangents can be drawn between such circles.
Show answer & explanation
Correct answer: A
Explanation
For two circles that neither intersect nor touch each other, a total of 4 common tangents can be drawn.
There are 4 tangents:
2 Direct Common Tangents
2 Transverse Common Tangents
Both A and R are true, and R is the correct explanation of A.