Question
Mathematics Question on Geometry
The number of tangents that can be drawn to two non-intersecting circles is
A
4
B
3
C
2
D
1
Answer
4
Explanation
Solution
The correct option is (A): 4
Explanation: The number of tangents that can be drawn to two non-intersecting circles depends on their positions relative to each other. For two non-intersecting circles, there are four possible tangents:
1. Two external tangents : These tangents touch both circles from the outside.
2. Two internal tangents : These tangents pass between the two circles.
Since the question specifies that the circles do not intersect, the total number of tangents that can be drawn is 4.
So, the answer is Option A: 4.
