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Number of tangents drawn from a point in...

Number of tangents drawn from a point inside the circle is :

A

1

B

2

C

4

D

0

Text Solution

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The correct Answer is:
To determine the number of tangents that can be drawn from a point inside a circle, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Position of the Point**: - We start by noting that the point in question is located inside the circle. 2. **Definition of a Tangent**: - A tangent to a circle is a line that touches the circle at exactly one point. 3. **Drawing Tangents from the Point**: - If we attempt to draw a line (or tangent) from a point inside the circle, we need to consider how a line behaves relative to the circle. 4. **Analyzing the Intersection**: - Any line drawn from a point inside the circle will intersect the circle at two points. This means that the line does not just touch the circle; it crosses it. 5. **Conclusion About Tangents**: - Since a tangent must touch the circle at only one point, and since any line from the point inside the circle intersects it at two points, we conclude that no tangents can be drawn from a point inside the circle. 6. **Final Answer**: - Therefore, the number of tangents that can be drawn from a point inside the circle is **zero**.
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