Table of Contents
- 1 How many tangents can be drawn from two non intersecting circles?
- 2 What is the number of common tangents that can be drawn to two intersecting circles touching at two points?
- 3 What do you call the line that touches the circle at exactly one point?
- 4 How many tangents can a circle?
- 5 What is the maximum number of common points when two circles are drawn?
- 6 What are two tangent circles called?
How many tangents can be drawn from two non intersecting circles?
when considered two circles. 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.
How many intersecting tangents can be drawn to a circle?
two tangents
A circle can have infinite tangents. Such lines are called tangent lines or simply as tangents to the circle from a given point. It may be noted that from a particular point outside a circle only two tangents can be drawn.
What is the number of common tangents that can be drawn to two intersecting circles touching at two points?
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.
Can two circles be tangent to each other?
Two circles are tangent to each other if they have only one common point. Two circles that have two common points are said to intersect each other. Two circles can be externally tangent if the circles are situated outside one another and internally tangent if one of them is situated inside the other.
What do you call the line that touches the circle at exactly one point?
A line that intersects a circle at exactly one point is called a tangent line.
What is the angle between a tangent to a circle and the radius through the point of contact?
Since, the shortest distance between a line and a point is known as perpendicular which make 90° angle . Thus, The angle between a tangent to a circle and the radius drawn at the point of contact is 90°.
How many tangents can a circle?
Solution: A tangent to a circle is a line that intersects the circle at only one point. On every point on the circle, one tangent can be drawn as shown in the figure below. As per the above diagram, we see that a circle can have infinitely many tangents.
How many Secants can be drawn to a circle?
infinite secants
While in a circle, a secant will touch the circle in exactly two points and a chord is the line segment defined by these two points, that is the interval on a secant whose endpoints are these two points. So from the above definition, there can be infinite secants which can be drawn to the circle.
What is the maximum number of common points when two circles are drawn?
(i) When two circles are intersecting each other, then there are two common points. So, the maximum number of common points in this case, is 2.
Can 3 circles have a common tangent?
If the circles touch each other externally, then they will have 3 common tangents, two direct and one transverse. The tangent in between can be thought of as the transverse tangents coinciding together.
What are two tangent circles called?
In geometry, tangent circles (also known as kissing circles) are circles in a common plane that intersect in a single point. There are two types of tangency: internal and external.
Which lines are Secants?
A straight line can intersect a circle at zero, one, or two points. A line with intersections at two points is called a secant line, at one point a tangent line and at no points an exterior line. A chord is the line segment that joins two distinct points of a circle.