Multiple tangents to the two circles can be only outer tangents to each other circles.

Any line, ray, or segment that can be a tangent to multiple circles simultaneously is referred to as a common tangent. The number of common tangents between two circles might range from one to four.

 The important thing to remember is that a circle's tangent only ever touches the circle outside of it. Multiple tangents to the two circles may also be an inner or outer tangent to one another's circles.