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What is the largest number of infinite lines that intersect at exactly

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Bunuel
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What is the largest number of infinite lines that intersect at exactly [#permalink] New post   19 Oct 2016, 09:00
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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.



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moulayabdesslam
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Re: What is the largest number of infinite lines that intersect at exactly [#permalink] New post   Updated on: 19 Oct 2016, 11:53
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Bunuel wrote:
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.


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
Screen Shot 2016-10-19 at 1.30.24 PM.png [ 263.24 KiB | Viewed 2525 times ]


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.
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Re: What is the largest number of infinite lines that intersect at exactly [#permalink] New post   19 Oct 2016, 11:44
Point where minimum two lines intersect is called a vertex.

So Maximum of 3 lines can intersect at two vertices.
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Re: What is the largest number of infinite lines that intersect at exactly [#permalink] New post   19 Oct 2016, 11:49
Manonamission wrote:
Point where minimum two lines intersect is called a vertex.

So Maximum of 3 lines can intersect at two vertices.



I disagree. Each line of a rectangle intersects at only 2 vertices. See attached figure

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Re: What is the largest number of infinite lines that intersect at exactly [#permalink] New post   19 Oct 2016, 14:12
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I second moulayabdesslam with the interpretation..

Ps: This ones a hard nut to crack!!!


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Re: What is the largest number of infinite lines that intersect at exactly [#permalink] New post   19 Oct 2016, 14:15
Abhishek009 wrote:
I second moulayabdesslam with the views..

Ps: This ones a hard nut to crack!!!


Thanks!
It is, indeed! Requires mind-visualization of figures.
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Re: What is the largest number of infinite lines that intersect at exactly [#permalink] New post   19 Nov 2017, 04:02
Bunuel wrote:
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.


Please explain the question, I don't know what it wants to ask
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Re: What is the largest number of infinite lines that intersect at exactly [#permalink] New post   19 Nov 2017, 06:27
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Bunuel wrote:
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.


hi

Bunuel, Not very clear wordings. the source may help in knowing what does this Q mean.
only one straight line can pass through two vertices, rest all will be above it.
May be the Q was intended to mean something else.



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Re: What is the largest number of infinite lines that intersect at exactly [#permalink]
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