INTERNAL TANGENT OF A CIRCLE
Definition Of Internal Tangent Of A Circle
A tangent that is common to two circles and intersects the segment joining the centers of the circles is called Common Internal Tangent.
More About Internal Tangent of a Circle
A common tangent can either be a common external tangent or a common internal tangent.
Video Examples:Construction: Internal Tangents To Two Circles
Example of Internal Tangent of a Circle
In figure, AB line is the common internal tangent of two circles.
In figure, CD line is the common internal tangent of two circles.
Solved Example on Internal Tangent of a Circle
Ques: Identify the common internal tangent line from the given figure.
Choices:
A. AB line
B. CD line
C. EF line
D. none of the above
Correct Answer: A
Solution:
Step 1: A tangent that is common to two circles and intersects the segment
joining the centers of the circles is called Common Internal Tangent.
Step 2: In figure, line AB is the common tangent as it intersects the segments joining the centers of two circles.
Step 3: So, AB is the common internal tangent line.
Quick Summary
- An internal tangent is a line tangent to two circles.
- The internal tangent intersects the line segment connecting the centers of the two circles.
🍎 Teacher Insights
Use visual aids and dynamic geometry software to demonstrate the concept. Emphasize the difference between internal and external tangents.🎓 Prerequisites
- Tangent to a Circle
- Properties of Circles
- Line Segments
- Intersection of Lines
Check Your Knowledge
Q1: Which of the following lines is an internal tangent to the two circles?
Frequently Asked Questions
Q: How do you identify an internal tangent?
A: An internal tangent intersects the line segment connecting the centers of the two circles.
Q: Is there a formula to find the length of the internal tangent?
A: Yes, the length can be found using the Pythagorean theorem after constructing a right triangle involving the radii and the distance between the centers.