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# If the line L passes through the point (3,n) and (n,3)

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If the line L passes through the point (3,n) and (n,3)  [#permalink]

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Updated on: 10 May 2016, 09:46
4
00:00

Difficulty:

65% (hard)

Question Stats:

51% (01:56) correct 49% (02:06) wrong based on 107 sessions

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If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?

1. Line L does pass the origin.
2. The slope of L is negative
3. Line L must passes through the first quadrant

A. I only
B. II only
C. III only
D. I and II
E. II and III

Originally posted by ruchi857 on 10 May 2016, 09:42.
Last edited by Bunuel on 10 May 2016, 09:46, edited 1 time in total.
Moved to PS forum.
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Joined: 02 Sep 2009
Posts: 58443
Re: If the line L passes through the point (3,n) and (n,3)  [#permalink]

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10 May 2016, 09:47
ruchi857 wrote:
If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?

1. Line L does pass the origin.
2. The slope of L is negative
3. Line L must passes through the first quadrant

A. I only
B. II only
C. III only
D. I and II
E. II and III

Please post PS questions in PS forum and provide the OA along with a question.
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Re: If the line L passes through the point (3,n) and (n,3)  [#permalink]

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10 May 2016, 11:41
2
2
Slope of the given line= 3-n/n-3

Given information is that n is not equal to 3, that means n <3 or n>3. In both these conditions the slope will be negative.

1) n<3 (n=2)
3-2/2-3= -1
2) n<3 (n= 0)
3-0/0-3= -1
3) n<3 (n=-3)
3+3/ -3-3= -2/3
4) n>3
3-4/4-3= -1

We have proved that II is true.

A line with -ve slope may or may not pass through origin and may or may not pass through 1st quadrant.
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Re: If the line L passes through the point (3,n) and (n,3)  [#permalink]

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14 Jan 2019, 13:43
Hello from the GMAT Club BumpBot!

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Re: If the line L passes through the point (3,n) and (n,3)   [#permalink] 14 Jan 2019, 13:43
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