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How many line can intersect a point?
A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.
Can a plane and a line ever intersect in two points?
In Euclidean geometry, they can only intersect in 0, 1 or infinitely many points. If there are two points of intersection then the whole line lies in the plane.
Is it true if points are collinear they are also coplanar?
Yes, any points that are located on the same line will also be on the same plane. You can have more than one plane intersect a given line, but any points on that line will necessarily be on all the planes that intersect that line.
Can a straight line intersect a circle at more than two points?
No.
What is the relationship between a horizontal line and vertical line?
They are mutually perpendicular. However, they need not intersect: if they are in different planes, they will not intersect.
Do planes intersect in exactly two points?
No. Either they do not intersect at all, or they intersect in a straight line or are the same.
How many line can intersect a point?
A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.
How many different planes may share exactly one point?
None. In conventional geometry, any intersection of two planes defines a line, which is an infinite number of points. Many planes may intersect along a single line, or any pair of planes may intersect creating a unique line, but however they intersect, the number of shared points is infinite. If the the planes do not intersect (if they are parallel), then they share zero points.
Can a plane and a line ever intersect in two points?
In Euclidean geometry, they can only intersect in 0, 1 or infinitely many points. If there are two points of intersection then the whole line lies in the plane.
Is it true if points are collinear they are also coplanar?
Yes, any points that are located on the same line will also be on the same plane. You can have more than one plane intersect a given line, but any points on that line will necessarily be on all the planes that intersect that line.
Was a secant line can intersect a circle in three points?
No it cannot.
Is it that if two different circles intersect then they intersect at one and only one point?
If two circles intersect then they have to intersect at two points.
Three lines can intersect in only two points?
This is true. If three straight lines are drawn, they can only intersect at two points. That is, each line will only intersect with another once.
Do 2 planes intersect infinitely many points?
They need not intersect at all, but if they do, it will be along a straight line and so comprise infinitely many points.
Can a line and a plane intersect at exactly two points?
No, that isn't possible.
Can a straight line intersect a circle at more than two points?
No.
When two lines intersect how many points do they have in common?
Two lines intersect at one point. If in two dimensions, and they do not intersect they are parallel. The other option in two dimensions is they are the co-linear, that is they are the same line, in which case they intersect at all points.
