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19 Oct 2016, 09:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
19% (01:20) correct
81%
(01:03)
wrong
based on 16
sessions
History
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Time
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What is the largest number of infinite lines that intersect at exactly two vertices?
A. 3
B. 4
C. 5
D. 6
E. Any number of lines may intersect at exactly two vertices.
A. 3
B. 4
C. 5
D. 6
E. Any number of lines may intersect at exactly two vertices.
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Updated on: 19 Oct 2016, 11:53
Originally posted by moulayabdesslam on 19 Oct 2016, 11:32.
Last edited by moulayabdesslam on 19 Oct 2016, 11:53, edited 1 time in total.
Last edited by moulayabdesslam on 19 Oct 2016, 11:53, edited 1 time in total.
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Bunuel
I think the answer is 4.
In fact, if you draw a rectangle and lengthen the lines, these will not intersect at more than 2 vertices.
On the other hand, if you draw a pentagon, the lines making the pentagon will intersect at more than 2 vertices (4 each, I believe) - See the attached image.
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Screen Shot 2016-10-19 at 1.30.24 PM.png [ 263.24 KiB | Viewed 2975 times ]
19 Oct 2016, 11:44
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Point where minimum two lines intersect is called a vertex.
So Maximum of 3 lines can intersect at two vertices.
So Maximum of 3 lines can intersect at two vertices.
19 Oct 2016, 11:49
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Manonamission
I disagree. Each line of a rectangle intersects at only 2 vertices. See attached figure
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Screen Shot 2016-10-19 at 1.48.34 PM.png [ 154.88 KiB | Viewed 2944 times ]
