Question:
The number of tangents that can be drawn to two non-intersecting circles is
The number of tangents that can be drawn to two non-intersecting circles is
Updated On: Sep 25, 2024
- 4
- 3
- 2
- 1
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The Correct Option is A
Solution and Explanation
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.
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.
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