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

It is currently 20 Apr 2014, 23:19

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the xy-coordinate system, do any points on line k lie in

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Director
Director
Status: Preparing for the 4th time -:(
Joined: 25 Jun 2011
Posts: 562
Location: United Kingdom
Concentration: International Business, Strategy
GMAT Date: 06-22-2012
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 11

Kudos [?]: 129 [1] , given: 217

GMAT Tests User CAT Tests
In the xy-coordinate system, do any points on line k lie in [#permalink] New post 15 Feb 2012, 16:10
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

70% (01:31) correct 29% (00:46) wrong based on 132 sessions
In the xy-coordinate system, do any points on line k lie in quadrant III?

(1) Line k has y-intercept 2

(2) Line k has slope 2/3

Now what will be the step by step approach to attempt this question?
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610 :-(

3 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17335
Followers: 2876

Kudos [?]: 18425 [3] , given: 2351

GMAT Tests User CAT Tests
Re: In the xy-coordinate system, do any points on line k lie in [#permalink] New post 15 Feb 2012, 16:34
3
This post received
KUDOS
Expert's post
In the xy-coordinate system, do any points on line k lie in quadrant III?

You should just visualize this to solve.

(1) Line k has y-intercept 2 --> if the slope is negative or zero then K will not pass through the III quadrant but if it's positive then it will. Not sufficient.

(2) Line k has slope 2/3 --> any line with positive slope passes through the quadrants I and III. Sufficient.

Answer: B.

Check the image below:
Attachment:
graph (2).png
graph (2).png [ 8.49 KiB | Viewed 2513 times ]
Red and blue lines do not pass through III quadrant and green one does. Notice that any line parallel to green line (so with a slope of 2/3) will also pass through III quadrant.

Some notes:
1. If the slope of line is negative, line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, line intersects the quadrant I too, if negative quadrant III.

2. If the slope of line is positive, line WILL intersect quadrants I and III. Y and X intersects of the line with positive slope have opposite signs. Therefore if X intersect is negative, line intersects the quadrant II too, if positive quadrant IV.

3. Every line (but the one crosses origin OR parallel to X or Y axis OR X and Y axis themselves) crosses three quadrants. Only the line which crosses origin (0,0) OR is parallel of either of axis crosses two quadrants.

4. If a line is horizontal the line has slope 0, is parallel to X-axis and crosses quadrant I and II, if the Y intersect is positive OR quadrants III and IV, if the Y intersect is negative. Equation of such line is y=b, where b is y intersect.

5. If a line is vertical, the slope is not defined, line is parallel to Y-axis and crosses quadrant I and IV, if the X intersect is positive and quadrant II and III, if the X intersect is negative. Equation of such line is x=a, where a is x-intercept.

Check this: in-the-xy-coordinate-system-do-any-points-on-line-k-lie-in-86074.html and this: math-coordinate-geometry-87652.html for more.

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Director
Director
Joined: 29 Nov 2012
Posts: 936
Followers: 11

Kudos [?]: 160 [0], given: 543

Re: In the xy-coordinate system, do any points on line k lie in [#permalink] New post 15 Jan 2013, 03:48
Great bit of theory, Thanks bunuel!
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17335
Followers: 2876

Kudos [?]: 18425 [1] , given: 2351

GMAT Tests User CAT Tests
Re: In the xy-coordinate system, do any points on line k lie in [#permalink] New post 27 Jun 2013, 21:28
1
This post received
KUDOS
Expert's post
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Coordinate Geometry: math-coordinate-geometry-87652.html

All DS Coordinate Geometry Problems to practice: search.php?search_id=tag&tag_id=41
All PS Coordinate Geometry Problems to practice: search.php?search_id=tag&tag_id=62

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Moderator
Moderator
User avatar
Status: Learning New Things.....
Affiliations: GmatClub
Joined: 21 Feb 2012
Posts: 885
Location: India
City: Pune
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 89

Kudos [?]: 534 [0], given: 702

GMAT ToolKit User Premium Member CAT Tests
Re: In the xy-coordinate system, do any points on line k lie in [#permalink] New post 27 Jun 2013, 22:26
Expert's post
Dear Bunuel,
I just want to clear my doubt. If the 2nd statement had been " Line K has negative slope" then we would have required both statements together to answer the question. correct??
Regards,
Narenn
_________________

Articles Subject-Verb Agreement NEW!!

Practice Combinations and Probability | DS Combinations | PS Absolute Value and Modules | DS Absolute Value and Modules | Critical Combinatorics

Collection Critical Reasoning shortcuts and tips | OG Verbal Directory (OG 13 and OG Verbal 2)

Contributing to Each Other’s Learning!!!

Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17335
Followers: 2876

Kudos [?]: 18425 [0], given: 2351

GMAT Tests User CAT Tests
Re: In the xy-coordinate system, do any points on line k lie in [#permalink] New post 27 Jun 2013, 22:31
Expert's post
Narenn wrote:
Dear Bunuel,
I just want to clear my doubt. If the 2nd statement had been " Line K has negative slope" then we would have required both statements together to answer the question. correct??
Regards,
Narenn


Absolutely. Notice that in this case the answer to the question would be NO.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Moderator
Moderator
User avatar
Status: Learning New Things.....
Affiliations: GmatClub
Joined: 21 Feb 2012
Posts: 885
Location: India
City: Pune
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 89

Kudos [?]: 534 [0], given: 702

GMAT ToolKit User Premium Member CAT Tests
Re: In the xy-coordinate system, do any points on line k lie in [#permalink] New post 27 Jun 2013, 22:53
Expert's post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17335
Followers: 2876

Kudos [?]: 18425 [0], given: 2351

GMAT Tests User CAT Tests
Re: In the xy-coordinate system, do any points on line k lie in [#permalink] New post 27 Jun 2013, 22:56
Expert's post
Re: In the xy-coordinate system, do any points on line k lie in   [#permalink] 27 Jun 2013, 22:56
    Similar topics Author Replies Last post
Similar
Topics:
New posts Lines l and K lie on xy plane and intersect at point (4,3). gmatinjune 8 08 Aug 2006, 07:05
New posts in the xy-plane , does the point (4,12) lie on line k? 1. el1981 1 18 Feb 2008, 14:17
New posts In the xy-plane, does the point (4,12) lie on line k? 1. The vksunder 2 21 Jul 2008, 23:53
Popular new posts 4 Experts publish their posts in the topic In the xy-coordinate system, do any points on line k lie in tejal777 10 31 Oct 2009, 02:36
New posts Experts publish their posts in the topic In the xy- plane, does the point (4,12) lie on the line K. GMATD11 2 27 Feb 2011, 06:14
Display posts from previous: Sort by

In the xy-coordinate system, do any points on line k lie in

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.