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

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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.
[Reveal] Spoiler: OA

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

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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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Last edited by moulayabdesslam on 19 Oct 2016, 10:53, edited 1 time in total.

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

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New post 19 Oct 2016, 10:44
Point where minimum two lines intersect is called a vertex.

So Maximum of 3 lines can intersect at two vertices.

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

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New post 19 Oct 2016, 10:49
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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What is the largest number of infinite lines that intersect at exactly [#permalink]

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New post 19 Oct 2016, 13:12
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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]

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New post 19 Oct 2016, 13:15
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]

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New post 19 Nov 2017, 03:02
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]

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New post 19 Nov 2017, 05:27
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] 19 Nov 2017, 05:27
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