GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Jun 2018, 09:28

LIVE NOW:

Tips for Your Best Possible Application - Live Chat with Tuck Admissions | Click Here to JOIN!


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-coordinate plane, is point R equidistant from

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

Hide Tags

3 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 07 Sep 2010
Posts: 293
In the xy-coordinate plane, is point R equidistant from [#permalink]

Show Tags

New post 04 Jul 2012, 19:19
3
13
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (00:58) correct 40% (01:08) wrong based on 498 sessions

HideShow timer Statistics

In the xy-coordinate plane, is point R equidistant from points (-3,-3) and (1,-3)

(1) The x coordinate of point R is -1
(2) Point R lies on line y = -3.
1 KUDOS received
Current Student
User avatar
B
Joined: 29 Mar 2012
Posts: 317
Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
GMAT ToolKit User
Re: In the xy-coordinate plane, Is point R [#permalink]

Show Tags

New post 04 Jul 2012, 20:50
1
4
imhimanshu wrote:
In the xy-coordinate plane, Is point R equidistant from points (-3,-3) and (1,-3)

1. The x coordinate of point R is -1
2. Point R lies on line y = -3.

Expert, please provide your reasoning.

Thanks

Hi,

As per below diagram,
Attachment:
xy.jpg
xy.jpg [ 11.04 KiB | Viewed 11473 times ]

All the points which lie on x=-1, will be equidistant from the given points,

Using (1),
x coordinate is -1. Sufficient.

Using (2),
point lies on y=-3, the point may lie anywhere on the line joining the two points, and might/might not be equidistant from two given points.
Insufficient.

Answer is (A),

Regards,
Manager
Manager
avatar
Joined: 20 Jul 2011
Posts: 80
GMAT 1: 660 Q49 V31
GMAT ToolKit User
Re: In the xy-coordinate plane, Is point R [#permalink]

Show Tags

New post 04 Jul 2012, 21:37
imhimanshu wrote:
In the xy-coordinate plane, Is point R equidistant from points (-3,-3) and (1,-3)

1. The x coordinate of point R is -1
2. Point R lies on line y = -3.

Expert, please provide your reasoning.

Thanks



The Answer should be A

1. The x coordinate of point R is -1. Which means that, the point R is (-1, y). Whatever may be the value of 'y', the two points (-3,-3) and (1,-3) will be equidistant to the point (-1,y).

The line x = -1, bisects the line joining, (-3,-3) and (1,-3), hence any point(-1,y) on this line should be of equidistant from the two points

Hence Sufficient.

2. If Point R lies on line y = -3, i.e (x,-3) it means, point R could be anywhere on the line(within the points, outside the points etc) and either way no further evidence is known to identify the value of x in (x,-3).

To be more clear,

if x=-1,Equidistant, --> Yes
if x=0, Not Equidistant, -->No

Hence Not Sufficient.

Hope this helps
Manager
Manager
User avatar
Joined: 22 Feb 2009
Posts: 194
GMAT ToolKit User
Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

Show Tags

New post 22 Jul 2014, 16:45
cyberjadugar wrote:
imhimanshu wrote:
In the xy-coordinate plane, Is point R equidistant from points (-3,-3) and (1,-3)

1. The x coordinate of point R is -1
2. Point R lies on line y = -3.

Expert, please provide your reasoning.

Thanks

Hi,

As per below diagram,
Attachment:
xy.jpg

All the points which lie on x=-1, will be equidistant from the given points,

Using (1),
x coordinate is -1. Sufficient.

Using (2),
point lies on y=-3, the point may lie anywhere on the line joining the two points, and might/might not be equidistant from two given points.
Insufficient.

Answer is (A),

Regards,


yes, it is better to draw a diagram to solve the problem.
_________________

.........................................................................
+1 Kudos please, if you like my post

Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2730
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

Show Tags

New post 12 Nov 2015, 19:03
statement 1 is sufficient, because wherever we put point R, it will be equidistant from the both points.
statement 2 is insufficient, since point R can be on -1;-3 which will be a point equidistant from the 2 original ones, or -2;-3 which is not equidistant.
Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5577
GMAT 1: 800 Q59 V59
GPA: 3.82
Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

Show Tags

New post 15 Nov 2015, 10:51
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

In the xy-coordinate plane, is point R equidistant from points (-3,-3) and (1,-3)

(1) The x coordinate of point R is -1
(2) Point R lies on line y = -3.

We get a graph as below:
Attachment:
GCDS inhimanshu In the xy-coordinate plane (20151113).jpg
GCDS inhimanshu In the xy-coordinate plane (20151113).jpg [ 16.17 KiB | Viewed 6346 times ]


In other words, it is asking whether point R is in the same distance from (-3,-3) and (1,-3).
The line x=-1 is in the same distance from the points, so the x-coordinate of R has to be -1. So condition 1 is sufficient,
making the answer A.

Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Manager
Manager
User avatar
Joined: 17 Jun 2015
Posts: 241
GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
GMAT ToolKit User
Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

Show Tags

New post 17 Dec 2015, 10:44
First, plot the given points. Any point that is equidistant from the given points needs to be on the line x=-1.

A gives this,
B does not.

A is sufficient

____________________________

Plot the graphs. Don't be a hdwnkr and goof up in imagination.
_________________

Fais de ta vie un rêve et d'un rêve une réalité

Manager
Manager
avatar
B
Joined: 24 May 2014
Posts: 96
Location: India
GMAT 1: 590 Q39 V32
GRE 1: 310 Q159 V151
GRE 2: 312 Q159 V153
GPA: 2.9
Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

Show Tags

New post 19 Aug 2016, 19:15
Have a query, in statement 1 it is mentioned that x-coordinate is -1, now if I consider 'y' to be -3 or -8 and by applying distance between two points formula, I would get two different values. Shouldn't the y-coordinate value also be known.?
1 KUDOS received
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3642
Premium Member Reviews Badge CAT Tests
Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

Show Tags

New post 20 Aug 2016, 01:44
1
narendran1990 wrote:
Have a query, in statement 1 it is mentioned that x-coordinate is -1, now if I consider 'y' to be -3 or -8 and by applying distance between two points formula, I would get two different values. Shouldn't the y-coordinate value also be known.?


No, the X coordinate value tells us that the point R lines in the line passing through the mid point of the line joining the two given points. Hence, whatever the coordinate of y is, you will get the same distance from the respective points. hence, A is the correct answer.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog

GMAT Club Inbuilt Error Log Functionality - Click here.



NEW VISA FORUM - Ask all your Visa Related Questions - Click here.



Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free

Expert Post
Top Contributor
1 KUDOS received
CEO
CEO
User avatar
P
Joined: 12 Sep 2015
Posts: 2561
Location: Canada
In the xy-coordinate plane, is point R equidistant from [#permalink]

Show Tags

New post 18 Jan 2018, 10:47
1
Top Contributor
imhimanshu wrote:
In the xy-coordinate plane, is point R equidistant from points (-3,-3) and (1,-3)

(1) The x coordinate of point R is -1
(2) Point R lies on line y = -3.


Target question: Is point R equidistant from points (-3,-3) and (1,-3)?

This question is a great candidate for rephrasing the target question.
Aside: We have a free video with tips on rephrasing the target question (below)

First sketch the two given points
Image

Notice that the point (-1, -3) is equidistant from the two given points. MORE IMPORTANTLY, every point on the line x = -1 is equidistant from the two given points.
Image

So, we can rephrase the target question . . .
REPHRASED target question: Is point R on the line x = -1?

Statement 1: The x coordinate of point R is -1
If the x-coordinate is -1, then point R is definitely on the line x = -1
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: Point R lies on the line y= -3
This tells us nothing about whether or not point R is on the line x = -1?
Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

RELATED VIDEO

_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

In the xy-coordinate plane, is point R equidistant from   [#permalink] 18 Jan 2018, 10:47
Display posts from previous: Sort by

In the xy-coordinate plane, is point R equidistant from

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


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.