How many common tangent lines can be drawn to the circles below?

There can be four common tangents to two circles. The tangents can be either direct or transverse.

How many times can two tangent lines intersect inside a circle?

A line can only intersect a circle 0, 1, or 2 times: twice for chords and secants; once for tangents.

How many common tangents do two circles have?

four common tangents
In most cases, two circles have four common tangents. If the circles are tangent , then they will have three common tangents, but this can be understood as a degenerate case: as if the two tangents coincided.

Can two tangent lines intersect inside a circle?

No tangent line can be drawn through a point within a circle, since any such line must be a secant line. However, two tangent lines can be drawn to a circle from a point P outside of the circle.

How many circles can be tangent to a given line at a given point on the line?

two circles
A special property can be noted when the two circles are tangent to each other: As this common tangent line is perpendicular to both radii of each circle at that point, it follows that the two radii and the tangent point lie along the same line. Also, the two circles can be tangent in a different way.

How many common tangent lines can be drawn?

There can be three tangents in common. The one tangent will be at the point of touching where the two circles are touching each other. The point of contact of both the circles. The second tangent will be at the bottom which will touch both the circles.

How many common tangents can be drawn to the two circles which touch internally?

When two circles touch each other internally 1 common tangent can be drawn to the circles. When two circles intersect in two real and distinct points, 2 common tangents can be drawn to the circles. When two circles touch each other externally, 3 common tangents can be drawn to the circles.

What is a common tangent between two circles?

A line that is tangent to more than one circle is referred to as a common tangent of both circles. A common tangent can be further divided into: Internal common tangents, which pass through the line segment joining the centers of the two circles. External common tangents, which do not pass through such a segment.

How many tangent lines can be drawn to a circle from a point outside the circle?

two tangents
Theorem: Exactly two tangents can be drawn from an exterior point to a given circle.

Are two circles tangent to the same line?

A special property can be noted when the two circles are tangent to each other: As this common tangent line is perpendicular to both radii of each circle at that point, it follows that the two radii and the tangent point lie along the same line. Also, the two circles can be tangent in a different way.