Respuesta :
The possible cases for common tangents between two circles are as shown below.
What is circle?
"It is a two dimensional round-shaped figure that has no corners or edges. "
What is tangent of a circle?
"A line that touches the circle at a single point."
What are concentric circles?
"These are the circles with a common center."
For given question,
The possible cases for common tangents between two circles.
Case 1: When circle are concentric circles, then there is no common tangent between two circles.
Case 2: When two circles have one common tangent as shown in following figures.
Case 3: When two circles have two common tangent as shown in following figures.
Case 4: When two circles have three common tangent as shown in following figures.
These are the possible cases for common tangents between two circles.
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