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Can two distinct points both exist on two distinct line?
No. Two points determine one line, and only one.
A tangent line is a line that intersects a circle at exactly two points?
No. A tangent touches the circle at exactly one point. A line that intersects a circle at exactly two points is a secant.
How many different lines are determined by two points?
In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!
What is a line that intersects a circle in exactly two points?
secant
What is the unique line postulate?
Unique line assumption. There is exactly one line passing through two distinct points.
How many points determine exactly one line?
It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.
it is a portion of a line consisting of two distinc points?
Two distinct points determine exactly one line. That line is the shortest path between the two points. ... Two points also determine a ray, a segment, and a distance, symbolized for points A and B by AB (or BA when B is the endpoint), AB, and AB respectively.
Through any two points there is exactly one?
== == Through any two points there is exactly one straight line.
Is there exactly one line through two points?
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
Do two points determine a plane?
No. Three points do. Two points determine a line.
Can two distinct points both exist on two distinct line?
No. Two points determine one line, and only one.
Through any three points not on a line there is one?
between two point there is exactly one line between three points there is exactly one plane
Exactly one line may contain two points?
Yes and they are the end points
A tangent line is a line that intersects a circle at exactly two points?
No. A tangent touches the circle at exactly one point. A line that intersects a circle at exactly two points is a secant.
Through any two points there is exactly?
one plane LINE
Any two points are contained in exactly one plane?
false
How many different lines are determined by two points?
In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!
