Question

The number of common tangents of two circles when they do not touch or intersect each other is​

Answer 1

Step-by-step explanation:

When two circles touch each other externally, 3 common tangents can be drawn to the circles. When two circle neither touch nor intersect and one lies outside the other, then 4 common tangents can be drawn.

Answer 2

The number of common tangents of two circles when they do not touch or intersect each other is​ 4.

A tangent to a circle is the line that touches a circle at a single point only. A circle can have infinite tangent lines.

The lines that go from above and below the circles can be the two common lines. The other two tangent lines can be the lines that cross the circles from the space between them.

Therefore, the number of common tangents of two circles when they do not intersect or touch each other is 4.

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