It is currently 18 Nov 2017, 16:49

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the xy-plane, the points (c, d), (c, -d), and (-c, -d)

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Director
Director
User avatar
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 609

Kudos [?]: 1153 [2], given: 39

In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 23 Jan 2012, 13:44
2
This post received
KUDOS
14
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (01:13) correct 42% (01:03) wrong based on 680 sessions

HideShow timer Statistics

In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?

A. (-5, -3)
B. (-5, 3)
C. (5, -3)
D. (3, -5)
E. (3, 5)

I answered B. But OA
[Reveal] Spoiler: OA

_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Kudos [?]: 1153 [2], given: 39

Expert Post
7 KUDOS received
Magoosh GMAT Instructor
User avatar
G
Joined: 28 Dec 2011
Posts: 4488

Kudos [?]: 8737 [7], given: 105

Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 23 Jan 2012, 15:57
7
This post received
KUDOS
Expert's post
8
This post was
BOOKMARKED
Hi, there. I'm happy to help with this. :)

The question: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?

I marked the tricky part in red. It seems c is a negative number and d is a positive number. This means

Vertex #1 = (c, d) is in QII (that is, negative x and positive y)
Vertex #2 = (c, -d) is in QIII (that is, both x & y negative)
Vertex #3 = (-c, -d) is in QIV (that is y is negative, but x is positive)

That means the last vertex should be in the first quadrant --- the only first quadrant point is (5, 3), answer = E.

Does that make sense? Please let me know if you have any questions on this.

Mike :-)
_________________

Mike McGarry
Magoosh Test Prep

Image

Image

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Kudos [?]: 8737 [7], given: 105

Expert Post
3 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132617 [3], given: 12326

Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 23 Jan 2012, 18:16
3
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
Baten80 wrote:
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?

A. (-5, -3)
B. (-5, 3)
C. (5, -3)
D. (3, -5)
E. (3, 5)

I answered B. But OA


As the three vertices are (c, d), (c, -d), and (-c, -d) then the fourth will be (-c, d), the only combination which is left. Now, as c<0 and d>0, then -c=-negative=positive and d=positive. Thus the fourth vertex (positive, positive) is in the I quadrant, only answer choice E offers also I quadrant point: (3, 5).

Answer: E.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132617 [3], given: 12326

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7736

Kudos [?]: 17780 [1], given: 235

Location: Pune, India
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 24 Jan 2012, 03:04
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Baten80 wrote:
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?

A. (-5, -3)
B. (-5, 3)
C. (5, -3)
D. (3, -5)
E. (3, 5)

I answered B. But OA


Your logic was fine.. You figured that after (c, d), (c, -d), and (-c, -d), the fourth vertex would be (-c, d). Perfect!
The only problem was the additional info that said that 'c' is negative and 'd' is positive. This means that in (-c, d), both (-c) and d will be positive! Hence the OA is (E) i.e. the one in which both, the x and the y co-ordinate, are positive.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 17780 [1], given: 235

Manager
Manager
avatar
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 171

Kudos [?]: 102 [0], given: 1

Location: India
Concentration: Finance, International Business
WE: Information Technology (Investment Banking)
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 26 Jan 2012, 06:29
guys thanks for the explanation :)

Kudos [?]: 102 [0], given: 1

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15704

Kudos [?]: 282 [0], given: 0

Premium Member
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 06 Aug 2014, 05:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 282 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15704

Kudos [?]: 282 [0], given: 0

Premium Member
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 01 Sep 2015, 10:55
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 282 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15704

Kudos [?]: 282 [0], given: 0

Premium Member
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 07 Oct 2016, 08:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 282 [0], given: 0

Manager
Manager
avatar
B
Joined: 09 Aug 2016
Posts: 73

Kudos [?]: 7 [0], given: 8

In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 26 Oct 2016, 11:29
From the question since this is given If c < 0 and d > 0 .... you can do c = -1 and d = 1

Then map the coordinates for all three points (c,d) = (-1, 1) , (c, -d) = (-1, -1) and (-c, -d) = (1,-1) .....

Well if you draw all these three points in the plane you will realise that the missing point has positive x, y so E

Kudos [?]: 7 [0], given: 8

Manager
Manager
User avatar
G
Joined: 09 Jan 2016
Posts: 134

Kudos [?]: 91 [0], given: 59

GPA: 3.4
WE: General Management (Human Resources)
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 03 Feb 2017, 10:41
Great explanation :-D

Kudos [?]: 91 [0], given: 59

Intern
Intern
User avatar
B
Joined: 20 Apr 2015
Posts: 28

Kudos [?]: [0], given: 111

Concentration: Technology, Leadership
GPA: 3.9
GMAT ToolKit User
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 26 Jul 2017, 03:24
Very Tricky Question. Thanks for the explanations Mike/Bunuel.

Kudos [?]: [0], given: 111

Expert Post
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1806

Kudos [?]: 920 [0], given: 3

Location: United States (CA)
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 26 Jul 2017, 16:17
Baten80 wrote:
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?

A. (-5, -3)
B. (-5, 3)
C. (5, -3)
D. (3, -5)
E. (3, 5)


Since c < 0 and d > 0:

(c, d) = (neg, pos) = quadrant II

(c, -d) = (neg, neg) = quadrant III

(-c, -d) = (pos, neg) = quadrant IV

Thus, the 4th vertex is in quadrant I and has a point that is (pos, pos). Thus, choice E is correct, since it’s the only point that is (pos, pos).

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 920 [0], given: 3

1 KUDOS received
Mannheim Thread Master
User avatar
S
Status: It's now or never
Joined: 10 Feb 2017
Posts: 280

Kudos [?]: 27 [1], given: 51

Location: India
GMAT 1: 650 Q40 V39
GPA: 3
WE: Consulting (Consulting)
GMAT ToolKit User
Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 30 Jul 2017, 10:51
1
This post received
KUDOS
Although I understood the problem but is it possible for someone who can draw the vertices in a picture and present it. Visually still it is difficult for me to understand, how the -c,d simply lying in the quadrant II.
_________________

2017-2018 MBA Deadlines

Threadmaster for B-school Discussions
Class of 2019: Mannheim Business School
Class 0f 2020: HHL Leipzig

Kudos [?]: 27 [1], given: 51

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132617 [1], given: 12326

Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 30 Jul 2017, 11:10
1
This post received
KUDOS
Expert's post
AnubhavK wrote:
Although I understood the problem but is it possible for someone who can draw the vertices in a picture and present it. Visually still it is difficult for me to understand, how the -c,d simply lying in the quadrant II.


Check the diagram below:
Attachment:
Untitled.png
Untitled.png [ 13.42 KiB | Viewed 1298 times ]


The fourth vertex is at (-c, d), which is (positive, positive), so in the first quadrant.

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132617 [1], given: 12326

Manager
Manager
User avatar
B
Joined: 21 Jun 2017
Posts: 70

Kudos [?]: 4 [0], given: 2

Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d) [#permalink]

Show Tags

New post 23 Aug 2017, 15:46
Baten80 wrote:
In the xy-plane, the points (c, d), (c, -d), and (-c, -d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?

A. (-5, -3)
B. (-5, 3)
C. (5, -3)
D. (3, -5)
E. (3, 5)

I answered B. But OA


I almost answered B, because it would match the quadrant; however, when you look at the final piece to the pattern; that is, (-c, d) you realize -5 can not be -c, because
-(-5) = 5, which contradicts the given "c<0"

After understanding what the question asks, The first thing you should do is list the givens:
(c,d)
(c,-d)
(-c,-d)
(???) missing fourth point not given.
Analyzing the points given, you see a pattern of c and d both positive, one positive and one negative, and both negative, the only pattern left is one negative and one positive.
(c,-d) is already given; therefore the missing fourth point is (-c, d)

(-c,d) cannot be B, because, again, when you plug -5 into (-c,d) you get (-(-5), d) which contradicts "c<0"
Now, B and A are both eliminated. You know it cannot be an answer where d is a negative number, so C and D are also eliminated.

Therefore, the only remaining answer is E

Bottomline: You should be able to recognize the pattern, and thereafter eliminate answer choices .

Kudos [?]: 4 [0], given: 2

Re: In the xy-plane, the points (c, d), (c, -d), and (-c, -d)   [#permalink] 23 Aug 2017, 15:46
Display posts from previous: Sort by

In the xy-plane, the points (c, d), (c, -d), and (-c, -d)

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.