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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  [#permalink]

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19 Oct 2016, 09:00
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65% (hard)

Question Stats:

30% (00:22) correct 70% (00:31) wrong based on 37 sessions

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

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Updated on: 19 Oct 2016, 11:53
1
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 [ 263.24 KiB | Viewed 904 times ]

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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]

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

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

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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]

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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]

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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]

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19 Nov 2017, 06:27
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 &nbs [#permalink] 19 Nov 2017, 06:27
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