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How many Counterexamples are needed to disprove the conjecture two lines in a plane always intersect at exactly one point?
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Do two distinct planes intersect in a pair of lines?
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
Could three planes intersect in exactly one point?
no
Will the graph of a system of parallel lines intersect at exactly 1 point?
Parallel lines don't intersect, no matter how many of them there are.
What is two plane intersect in exactly one point?
point of intersection.
Can two skew lines intersect in exactly one point?
always
If two planes intersect do they intersect in exactly one plane?
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
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.
To cross at exactly one point?
To intersect.
Do two distinct planes intersect in a pair of lines?
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
How many Two planes intersect in exactly?
Two distinct planes will intersect in one straight line.
Can two lines intersect in exactly one line?
always
Could three planes intersect in exactly one point?
no
Will the graph of a system of parallel lines intersect at exactly 1 point?
Parallel lines don't intersect, no matter how many of them there are.
Two planes can intersect on exactly one point?
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
Can a line and a plane intersect at exactly two points?
No, that isn't possible.
What is two plane intersect in exactly one point?
point of intersection.
Can two skew lines intersect in exactly one point?
always
