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.

Examples 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

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.

Related Terms for Internal Tangent of a Circle

  • Circle
  • Common External Tangent
  • Intersect
  • Segment
  • Tangent