Author 
Message 
TAGS:

Hide Tags

SVP
Joined: 08 Jul 2010
Posts: 2296
Location: India
GMAT: INSIGHT
WE: Education (Education)

In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
23 Jul 2015, 07:19
Question Stats:
41% (01:11) correct 59% (01:15) wrong based on 96 sessions
HideShow timer Statistics
In the xyplane, both line K and L intersect with axisX. Is K’s intercept with axisX greater than that of line L? 1). K’s intercept with axisY is greater than that of L. 2). K and L have the same slope. Good Questions also Require Kudos
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Current Student
Joined: 20 Mar 2014
Posts: 2639
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
23 Jul 2015, 07:36
GMATinsight wrote: In the xyplane, both line K and L intersect with axisX. Is K’s intercept with axisX greater than that of line L? 1). K’s intercept with axisY is greater than that of L. 2). K and L have the same slope. Good Questions also Require Kudos Interesting question. Let the equations of the lines be k=mx+b l = ny+c Per the question, b/m > c/n > b/m < c/n > b/m  c/n < 0? Statement 1, b>c but no information about m or n. Thus not sufficient to answer b/m  c/n < 0? Statement 2, m =n . Not sufficient (remember that m,n can be <0 or > 0, we still dont know which!!) Combining, b>c and m =n Consider these cases, let m =n=1 Then : b/1c/1 > 0 as b>c but if m=n=1 then b/1  (c/1) = b+c < 0 (with b = 3, c = 2) . Thus we get 2 different answers from the combination of statements and thus E is the correct answer.



Senior Manager
Status: Math is psychological
Joined: 07 Apr 2014
Posts: 421
Location: Netherlands
GMAT Date: 02112015
WE: Psychology and Counseling (Other)

In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
27 Jul 2015, 01:44
So, could we say that in order to answer this question we would need to know x,y and m (so the points and the slope), for both equations? Or at least the relationship between them, eg that they are parallel or vertical, or be able to draw such a conclusion?



SVP
Joined: 08 Jul 2010
Posts: 2296
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
27 Jul 2015, 01:58
pacifist85 wrote: So, could we say that in order to answer this question we would need to know x,y and m (so the points and the slope), for both equations? Or at least the relationship between them, eg that they are parallel or vertical, or be able to draw such a conclusion? I am not too clear about your question but the way I understand it I would answer it "Not necessarily." The lines with Opposite slopes can answer the question based on comparison of their YIntercept
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Senior Manager
Status: Math is psychological
Joined: 07 Apr 2014
Posts: 421
Location: Netherlands
GMAT Date: 02112015
WE: Psychology and Counseling (Other)

In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
27 Jul 2015, 02:08
GMATinsight wrote: pacifist85 wrote: So, could we say that in order to answer this question we would need to know x,y and m (so the points and the slope), for both equations? Or at least the relationship between them, eg that they are parallel or vertical, or be able to draw such a conclusion? I am not too clear about your question but the way I understand it I would answer it "Not necessarily." The lines with Opposite slopes can answer the question based on comparison of their YIntercept I think this is what I mean.. So, the lines with opposite slopes would be perpendicular. So, we would have a relationship between them, which would give us the slope. BTW, I read this on purple math ( http://www.purplemath.com/modules/slope2.htm) a while ago. Makes sense? "The slope of the perpendicular line is the "negative reciprocal" of the slope of the original line — and two lines with slopes that are negative reciprocals of each other are perpendicular to each other. In numbers, if the one line's slope is m = 4/5, then the perpendicular line's slope will be m = –5/4. If the one line's slope is m = –2, then the perpendicular line's slope will be m = 1/2".



SVP
Joined: 08 Jul 2010
Posts: 2296
Location: India
GMAT: INSIGHT
WE: Education (Education)

In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
Updated on: 27 Jul 2015, 05:17
pacifist85 wrote: GMATinsight wrote: pacifist85 wrote: So, could we say that in order to answer this question we would need to know x,y and m (so the points and the slope), for both equations? Or at least the relationship between them, eg that they are parallel or vertical, or be able to draw such a conclusion? I am not too clear about your question but the way I understand it I would answer it "Not necessarily." The lines with Opposite slopes can answer the question based on comparison of their YIntercept I think this is what I mean.. So, the lines with opposite slopes would be perpendicular. So, we would have a relationship between them, which would give us the slope. BTW, I read this on purple math ( http://www.purplemath.com/modules/slope2.htm) a while ago. Makes sense? "The slope of the perpendicular line is the "negative reciprocal" of the slope of the original line — and two lines with slopes that are negative reciprocals of each other are perpendicular to each other. In numbers, if the one line's slope is m = 4/5, then the perpendicular line's slope will be m = –5/4. If the one line's slope is m = –2, then the perpendicular line's slope will be m = 1/2". Ofcourse it makes sense. That the basic property of Slopes of two perpendicular lines Property1: Slopes of the parallel line will always be equal i.e. \(m_1 = m_2\) Property2: Product of Slopes of two Perpendicular lines will always be equal to 1 i.e. \(m_1*m_2 = 1\)
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Originally posted by GMATinsight on 27 Jul 2015, 04:32.
Last edited by GMATinsight on 27 Jul 2015, 05:17, edited 1 time in total.



Current Student
Joined: 20 Mar 2014
Posts: 2639
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
27 Jul 2015, 04:54
GMATinsight wrote: Ofcourse it makes sense. That the basic property of Slopes of two perpendicular lines
Property1: Slopes of the parallel line will always be equal i.e. \(m_1 = m_2\)
Property2: Product of Slopes of two Perpendicular lines will always be equal i.e. \(m_1*m_2 = 1\) GMATinsight, I think you meant "negative reciprocal of each other". Product of slopes of 2 mutually perpendicular lines can not be "equal".



SVP
Joined: 08 Jul 2010
Posts: 2296
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
27 Jul 2015, 05:19
Engr2012 wrote: GMATinsight wrote: Ofcourse it makes sense. That the basic property of Slopes of two perpendicular lines
Property1: Slopes of the parallel line will always be equal i.e. \(m_1 = m_2\)
Property2: Product of Slopes of two Perpendicular lines will always be equal i.e. \(m_1*m_2 = 1\) GMATinsight, I think you meant "negative reciprocal of each other". Product of slopes of 2 mutually perpendicular lines can not be "equal". I was representing the relation in a way \(m_1*m_2 = 1\) so missed the last letters in red "Product of the slopes of two perpendicular lines will be equal to 1"
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Intern
Joined: 09 Dec 2016
Posts: 14
Concentration: Leadership, General Management

Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
07 Mar 2017, 05:52
This question is asking for X intercept. I understand that its asking for absolute value. Please suggest



Math Expert
Joined: 02 Sep 2009
Posts: 49206

Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
07 Mar 2017, 06:01



Manager
Joined: 22 Mar 2014
Posts: 141
Location: United States
Concentration: Finance, Operations
GPA: 3.91
WE: Information Technology (Computer Software)

Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter
[#permalink]
Show Tags
07 Mar 2017, 11:42
Engr2012 wrote: GMATinsight wrote: In the xyplane, both line K and L intersect with axisX. Is K’s intercept with axisX greater than that of line L? 1). K’s intercept with axisY is greater than that of L. 2). K and L have the same slope. Good Questions also Require Kudos Interesting question. Let the equations of the lines be k=mx+b l = ny+c Per the question, b/m > c/n > b/m < c/n > b/m  c/n < 0? Statement 1, b>c but no information about m or n. Thus not sufficient to answer b/m  c/n < 0? Statement 2, m =n . Not sufficient (remember that m,n can be <0 or > 0, we still dont know which!!) Combining, b>c and m =n Consider these cases, let m =n=1 Then : b/1c/1 > 0 as b>c but if m=n=1 then b/1  (c/1) = b+c < 0 (with b = 3, c = 2) . Thus we get 2 different answers from the combination of statements and thus E is the correct answer. I did not understand this explanation. Firstly, The equation of a straight line should contain both x and y parameters. But the equations assumed here are different. One equation has x and other one has y. Secondly, I did not understand this inference that we need to find that whether the below relation is true or not  b/m  c/n < 0? As per my opinion, the ans should be C because if two lines are having same slope then they are parallel. So, because Y intercept for the line K is > Y intercept of line L, so X intercept of line K should be > X intercept of line L. Clear and simple. Please let me know if I am missing anything.




Re: In the xyplane, both line K and L intersect with axisX. Is K’s inter &nbs
[#permalink]
07 Mar 2017, 11:42






