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What are externally tangent circles?
Externally tangent circles are two circles that touch each other at exactly one point, with their centers lying on opposite sides of the point of contact. This point of tangency is the only point where the circles intersect, and they do not overlap. The distance between their centers is equal to the sum of their radii.
How many common external tangent can be drawn to two concentric circles?
If the circles have the same radius then an infinite number, and if they do not, then none.
A tangent circle passes always through the center of the circle?
A line joining the centres of two tangent circles also passes through the point of tangency.
How do you construct a transverse common tangent to two circles?
To construct a transverse common tangent to two circles, first draw a line connecting the centers of the two circles. Then, find the points where this line intersects the circles. From each intersection point, draw a line perpendicular to the line connecting the centers; these lines will intersect outside the circles. The lines connecting the intersection points of the tangents to the circles will form the transverse common tangents.
What is a tangent intersecting the segment joining the centers of the two circles?
They are the common tangents to the circles.
Are tangent circles two circles that are tangent to the same line at the same point?
Yes.
What is a tangent internally?
Two circles in the same plane are externally tangent if they intersect in exactly one point and their intersection of their interiors is empty.
What are two coplanar circles that intersect at exactly one point?
Tangent circles.
A line that is tangent to two circles?
... touches each circle in exactly one point on each circle. given any two circles where none is entirely inside or inside and tangent to the other, there are at most four straight lines that are tangent to both circles.
What are externally tangent circles?
Externally tangent circles are two circles that touch each other at exactly one point, with their centers lying on opposite sides of the point of contact. This point of tangency is the only point where the circles intersect, and they do not overlap. The distance between their centers is equal to the sum of their radii.
How do you make transverse common tangent to two circles?
You join the centres of the two circles. Divide this line in the ratio of the two radii. Draw the tangent from this point to either circle and extend it to touch the other circle.
How many common external tangent can be drawn to two concentric circles?
If the circles have the same radius then an infinite number, and if they do not, then none.
A tangent circle passes always through the center of the circle?
A line joining the centres of two tangent circles also passes through the point of tangency.
How do you construct a transverse common tangent to two circles?
To construct a transverse common tangent to two circles, first draw a line connecting the centers of the two circles. Then, find the points where this line intersects the circles. From each intersection point, draw a line perpendicular to the line connecting the centers; these lines will intersect outside the circles. The lines connecting the intersection points of the tangents to the circles will form the transverse common tangents.
Does a tangent circle pass through the center of the circle?
If the tangent circles are outside of one another, then neither passes through the center of the other. If one circle is within the other, then the inner tangent circle might contain the center point of the larger circle. There will be infinitely many inner tangent circles that do not.
What are Two circles with the same centre point called?
Concentric circles
What is a tangent intersecting the segment joining the centers of the two circles?
They are the common tangents to the circles.
