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Why can three coplanar lines have zero one two or three points of intersection?
If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points.
What is the number of points at which two parallel lines intersect?
Parallel lines NEVER touch, so zero.
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
Can four lines have only two intersection points?
No, four lines can can have 6 total intersections. They would be Ab, Ac, Ad, Bc, Bd, and Cd
What is the locus of points at a given distance of a line?
The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.
Why can three coplanar lines have zero one two or three points of intersection?
If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points.
Two parallel lines may have 0 or 1 intersection points?
False
What is the intercection of two lines called?
The intersection of two lines is called a point of intersection. This point represents the coordinates where the two lines meet or cross each other in a plane. If the lines are parallel, they do not intersect, while if they are coincident, they share infinitely many points of intersection.
How many points of intersection do two skew lines have?
Any two lines can only have one point of intersection. Unless they are parallel, in which case they do not intersect at all. If they are the same line, then they intersect at an infinite number of points.
If two parallel planes are cut by a third plane the lines of intersection are?
Parallel lines.
How can be determined intersection point of two parallel lines?
Very simple. Two parallel lines do not intersect.
What is the greatest number of intersection points in four coplanar lines can have?
The greatest number of intersection points that four coplanar lines can have occurs when no two lines are parallel and no three lines intersect at the same point. In this case, the maximum number of intersection points can be calculated using the formula ( \frac{n(n-1)}{2} ), where ( n ) is the number of lines. For four lines, this results in ( \frac{4(4-1)}{2} = 6 ) intersection points.
What does not have a point of intersection?
Two parallel lines, a plane and a line in a plane parallel to it.
If two parallel planes are intersected by a third plane the lines of intersection are parallel.?
Yes, they are.
Is it possible for two straight lines to have exactly two points of intersection?
No.
What is the point where two or more points meet?
The point where two or more lines meet is the intersection.
What is the point at which two or more lines or arcs cross?
They are points of intersection.
