Respuesta :

The total number of common tangents that can be drawn to the circles is 1

What are the tangent lines?

The tangent lines of a circle are the lines drawn, that touch the circle at only one point

How to determine the total number of common tangents that can be drawn to the circles?

The complete question is added as an attachment

From the attached figure, we have the following highlights:

  • The circles have different radii
  • The smaller circle is completely inside the bigger circle
  • Both circles have one point of intersection

The one point of intersection is the only point where both circles can have common tangents

Since there is only one point of intersection, then the number of common tangents on the circles is 1

Hence, the total number of common tangents that can be drawn to the circles is 1

Read more about tangents at:

https://brainly.com/question/12926708

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