Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 May 2015, 15:25

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A line passes through (1,p), is its slope greater than 0?

Author Message
TAGS:
Director
Joined: 01 Feb 2003
Posts: 854
Followers: 1

Kudos [?]: 35 [0], given: 0

A line passes through (1,p), is its slope greater than 0?  [#permalink]  05 Jun 2005, 17:45
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
A line passes through (1,p), is its slope greater than 0?
1) The line passes through (p,13)
2) The line passes through (p,-1)
Director
Joined: 18 Apr 2005
Posts: 549
Location: Canuckland
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: PS: Slope [#permalink]  05 Jun 2005, 18:16
Vithal wrote:
A line passes through (1,p), is its slope greater than 0?
1) The line passes through (p,13)
2) The line passes through (p,-1)

1) slope = 0 when p=13, but we dont know p, insufficient
2) slope =0 when p=-1, insufficient

1+2) the only way for a line to go through these 3 point is if p =1, so slope equals infinity = > sufficient

C.
Director
Joined: 01 Feb 2003
Posts: 854
Followers: 1

Kudos [?]: 35 [0], given: 0

Re: PS: Slope [#permalink]  05 Jun 2005, 18:26
sparky wrote:
Vithal wrote:
A line passes through (1,p), is its slope greater than 0?
1) The line passes through (p,13)
2) The line passes through (p,-1)

1) slope = 0 when p=13, but we dont know p, insufficient
2) slope =0 when p=-1, insufficient

1+2) the only way for a line to go through these 3 point is if p =1, so slope equals infinity = > sufficient

C.

I chose C too, but isn't something/0 undefined? A couple of questions here:
(i) is n/0 undefined or infinity(meaning a large number) for the purposes of GMAT (I know as limit x-->0 y tends to infinity and stuff )
(ii) what is the slope of a line parallel to y-axis? undefined or infinity
SVP
Joined: 05 Apr 2005
Posts: 1733
Followers: 5

Kudos [?]: 38 [0], given: 0

Re: PS: Slope [#permalink]  05 Jun 2005, 18:29
Vithal wrote:
A line passes through (1,p), is its slope greater than 0?
1) The line passes through (p,13)
2) The line passes through (p,-1)

from i and ii each, we do not know what is slope. but from i and ii togather, slope = (13+1)/(p-p)=infinite or undefine.
Director
Joined: 18 Apr 2005
Posts: 549
Location: Canuckland
Followers: 1

Kudos [?]: 8 [0], given: 0

slope = infinity means the slope is defined.

the equation for the line is x=1, there is no dividing by zero in this equation.

to make it more clear, the standard forumla for computing the slope cannot be applied in some cases, namely when denominator equals zero.
Senior Manager
Joined: 17 May 2005
Posts: 272
Location: Auckland, New Zealand
Followers: 1

Kudos [?]: 5 [0], given: 0

quite a dodgy question this

cuz though i know that individually the data isn't sufficient...ideally, the two together should be...
however if you calculate the two slopes using the two sets of equations and equate them, after simplifying I get:
-1-p=13-p

anyway i suppose if i had to i would pick C...but it did throw me off
Director
Joined: 01 Feb 2003
Posts: 854
Followers: 1

Kudos [?]: 35 [0], given: 0

cloudz9 wrote:
quite a dodgy question this

cuz though i know that individually the data isn't sufficient...ideally, the two together should be...
however if you calculate the two slopes using the two sets of equations and equate them, after simplifying I get:
-1-p=13-p

anyway i suppose if i had to i would pick C...but it did throw me off

I got into the same problem too - and then chose C (as either way I was sure that answer will be found by combining both the equations)
Director
Joined: 18 Feb 2005
Posts: 674
Followers: 1

Kudos [?]: 2 [0], given: 0

Slope = tan (the angle made by the line)

When the angle is 90 the slope is infinity which is valid

So C is correct
SVP
Joined: 05 Apr 2005
Posts: 1733
Followers: 5

Kudos [?]: 38 [0], given: 0

sparky wrote:
slope = infinity means the slope is defined.

could you pls make it clear? coz, it is little confusion. do you mean that the slope = infinite is defined is sufficient answer the question. if so, it is clear. if you mean something/0 = infinite is defined, then its not clear. thanx.
Director
Joined: 18 Apr 2005
Posts: 549
Location: Canuckland
Followers: 1

Kudos [?]: 8 [0], given: 0

HIMALAYA wrote:
sparky wrote:
slope = infinity means the slope is defined.

could you pls make it clear? coz, it is little confusion. do you mean that the slope = infinite is defined is sufficient answer the question. if so, it is clear. if you mean something/0 = infinite is defined, then its not clear. thanx.

Defined in the sense we know what it is - infinity, and therefore we can say that it's diffirent from zero.

I don't want to get into the metaphysics of infinity, because frankly I have no clue. hehe

like, k/0 is not defined because we have no idea what it equals, but

LIMx->0 (k/x) = infinity. (LIM means limit)
SVP
Joined: 03 Jan 2005
Posts: 2250
Followers: 13

Kudos [?]: 216 [1] , given: 0

Re: PS: Slope [#permalink]  05 Jun 2005, 22:01
1
KUDOS
[quote="Vithal"]A line passes through (1,p), is its slope greater than 0?
1) The line passes through (p,13)
slope = (13-p)/(p-1)
When 1<p<13 slope>0 otherwise not
Insufficient

2) The line passes through (p,-1)
slope = (p+1)/(1-p)
When -1<p<1 slope >0 otherwise not
Insufficient

Combined
p=1, slope<>0
Sufficient
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

Senior Manager
Joined: 19 Feb 2005
Posts: 487
Location: Milan Italy
Followers: 1

Kudos [?]: 11 [0], given: 0

Basically we don't want to know what is the slope, but only if it is <>0, as HongHu demonstrates.
Similar topics Replies Last post
Similar
Topics:
Is the slope of a line passes through point (a,5) greater 2 31 May 2009, 10:06
The slope of a line that passes through origin and S is 1/2, 1 08 Sep 2006, 00:59
The slope of a line that passes through origin and S is 1/2, 3 26 Apr 2006, 02:30
Is slope of line L greater than that of line M? 1. L passes 3 16 Apr 2006, 08:52
A line passes through point(a,b) and (c,d). Is its slope 13 24 Mar 2006, 20:15
Display posts from previous: Sort by