In the xy-coordinate plane, is point R equidistant from : GMAT Data Sufficiency (DS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 07 Dec 2016, 20:03

### 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

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

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 07 Sep 2010
Posts: 336
Followers: 6

Kudos [?]: 638 [2] , given: 136

In the xy-coordinate plane, is point R equidistant from [#permalink]

### Show Tags

04 Jul 2012, 18:19
2
KUDOS
12
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

55% (01:55) correct 45% (01:04) wrong based on 387 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.
[Reveal] Spoiler: OA

_________________

+1 Kudos me, Help me unlocking GMAT Club Tests

Joined: 28 Mar 2012
Posts: 313
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 29

Kudos [?]: 384 [1] , given: 23

Re: In the xy-coordinate plane, Is point R [#permalink]

### Show Tags

04 Jul 2012, 19:50
1
KUDOS
2
This post was
BOOKMARKED
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.

Thanks

Hi,

As per below diagram,
Attachment:

xy.jpg [ 11.04 KiB | Viewed 7858 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.

Regards,
Manager
Joined: 20 Jul 2011
Posts: 81
GMAT 1: 660 Q49 V31
Followers: 0

Kudos [?]: 14 [0], given: 17

Re: In the xy-coordinate plane, Is point R [#permalink]

### Show Tags

04 Jul 2012, 20:37
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.

Thanks

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
Joined: 22 Feb 2009
Posts: 229
Followers: 5

Kudos [?]: 126 [0], given: 148

Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

### Show Tags

22 Jul 2014, 15:45
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.

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.

Regards,

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

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

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12891
Followers: 561

Kudos [?]: 158 [0], given: 0

Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

### Show Tags

02 Oct 2015, 00:49
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.
_________________
SVP
Joined: 17 Jul 2014
Posts: 2085
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '19
GMAT 1: 550 Q39 V27
GMAT 2: 560 Q42 V26
GMAT 3: 560 Q43 V24
GMAT 4: 650 Q49 V30
WE: General Management (Transportation)
Followers: 18

Kudos [?]: 248 [0], given: 124

Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

### Show Tags

12 Nov 2015, 18:03
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.
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 2283
GPA: 3.82
Followers: 158

Kudos [?]: 1315 [0], given: 0

Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

### Show Tags

15 Nov 2015, 09:51
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 [ 16.17 KiB | Viewed 2735 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,

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.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Senior Manager
Joined: 17 Jun 2015
Posts: 270
GMAT 1: 540 Q39 V26
GMAT 2: 680 Q46 V37
GMAT 3: Q V
Followers: 3

Kudos [?]: 16 [0], given: 165

Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

### Show Tags

17 Dec 2015, 09:44
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
Joined: 24 May 2014
Posts: 94
Location: India
GMAT 1: 590 Q39 V32
GRE 1: 310 Q159 V151
GRE 2: 312 Q159 V153
GPA: 2.9
Followers: 0

Kudos [?]: 7 [0], given: 334

Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

### Show Tags

19 Aug 2016, 18:15
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.?
Director
Joined: 18 Jul 2015
Posts: 868
Location: India
GMAT 1: 670 Q50 V32
GMAT 2: 700 Q50 V34
GPA: 3.65
WE: Brand Management (Health Care)
Followers: 24

Kudos [?]: 199 [1] , given: 29

Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

### Show Tags

20 Aug 2016, 00:44
1
KUDOS
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.
_________________

Thanks.

Re: In the xy-coordinate plane, is point R equidistant from   [#permalink] 20 Aug 2016, 00:44
Similar topics Replies Last post
Similar
Topics:
1 In the xy–coordinate plane, a line segment is drawn to join the points 3 31 Mar 2016, 09:15
16 In the xy-coordinate plane, line L passes through the points (b, a) an 4 01 May 2015, 01:16
5 In the xy-coordinate plane, line l passes through the point (-3, 0). 5 12 Nov 2014, 09:09
7 B is a point equidistant from points A and C. How far is B 4 05 Aug 2013, 06:06
44 In the xy-coordinate plane, is point R equidistant from 8 03 Dec 2012, 04:25
Display posts from previous: Sort by