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

 It is currently 20 Jan 2017, 17:04

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

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 5

Kudos [?]: 2326 [0], given: 0

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

Show Tags

03 Dec 2012, 04:25
27
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

58% (02:07) correct 42% (01:20) wrong based on 1016 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 the line y = -3.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 36583
Followers: 7087

Kudos [?]: 93280 [5] , given: 10555

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

Show Tags

03 Dec 2012, 04:32
5
KUDOS
Expert's post
11
This post was
BOOKMARKED
In the xy-coordinate plane, is point R equidistant from points (-3,-3) and (1,-3) ?

Look at the diagram below:
Attachment:

Equidistant points.png [ 9.68 KiB | Viewed 9560 times ]
Notice, that the green line (x=-1) is the perpendicular bisector of the line segment with endpoints (-3,-3) and (1,-3), thus ANY point on this line will be equidistant from points (-3,-3) and (1,-3).

(1) The x-coordinate of point R is -1 --> point R is on the green line. Sufficient.
(2) Point R lies on the line y = -3 --> point R may or may not be on the green line. Not sufficient.

_________________
Senior Manager
Joined: 21 Jan 2010
Posts: 344
Followers: 3

Kudos [?]: 177 [1] , given: 12

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

Show Tags

13 May 2013, 19:17
1
KUDOS
1
This post was
BOOKMARKED
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 the line y = -3.

Any point that lie on the perpendicular bisector the line segment with extreme points (-3,-3) and (1,-3) will satisfy this condition. The perpendicular bisector of the line segment is x=-1.

1) this means the point lies on x=-1. Sufficient.
2) This may or may not lie in the middle. The point -1,-3 is the mid point of the line segment but their are other points on the line such as (-2,-3) which doesn't satisfy the requirements. Insufficient.

Hence A.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13468
Followers: 575

Kudos [?]: 163 [0], given: 0

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

Show Tags

30 Jun 2014, 08:57
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.
_________________
Intern
Joined: 04 Jun 2014
Posts: 49
Followers: 0

Kudos [?]: 2 [0], given: 5

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

Show Tags

06 Aug 2014, 04:30
Why does the green line go through point -1 ? I couldn't find any chapter which explains this system.. can anyone help?
Manager
Joined: 13 Aug 2012
Posts: 118
Followers: 0

Kudos [?]: 57 [1] , given: 118

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

Show Tags

11 Aug 2014, 02:21
1
KUDOS
3
This post was
BOOKMARKED
We have to find out whether $$R(x,y)$$ is equidistant from the two points mentioned

Using the distance formula
$$(x+3)^2+(y+3)^2 = (x-1)^2+(y+3)^2$$
$$(x+3)^2 = (x-1)^2$$

So basically we have to prove whether $$(x+3)^2 = (x-1)^2$$or not?

1)Substituting$$-1$$ in the above equation $$(x+3)^2 = (x-1)^2$$ results in it being equal
Thus sufficient

2)$$y = -3$$wouldn't help us with this eqn:$$(x+3)^2 = (x-1)^2$$
Thus insufficient

Ans is A
Manager
Joined: 15 Mar 2015
Posts: 105
Followers: 2

Kudos [?]: 21 [0], given: 7

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

Show Tags

16 May 2015, 08:25
I got really scared seeing this question. But visualizing the coordinate plane made for a much simpler approach.

Once I got the two points mapped out it was obvious that point R had to be on X = -1.

I suppose this was possible because the two points had the same Y coordinates, which allowed for several a straight line at equidistance from the two points. Has anyone got any suggestions or Q's that involves points without this possibility? e.g. A=(1,0) B=(6,6)
_________________

I love being wrong. An incorrect answer offers an extraordinary opportunity to improve.

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 8304
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 381

Kudos [?]: 2465 [0], given: 163

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

Show Tags

16 May 2015, 10:32
Hi MarkusKarl,

Most Geometry questions have a "visual" component to them, so drawing the "work" involved (the shapes, the graph, etc.) will almost always be beneficial - in that way, you can connect conceptual ideas to real-world examples. GMAT questions in general are almost all pattern-based, so if you find yourself 'stuck' conceptually, you have to think about the rules involved and simplify the logic.

In your example, you name two points that don't share an X or Y co-ordinate, but the concept involved in this prompt applies to your example as well. There WILL be a "line" of co-ordinates that are equidistant from the two points that you named (it's just that the "line" will be a diagonal line and will NOT involve any shared X or Y co-ordinates).

GMAT assassins aren't born, they're made,
Rich
_________________

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13468
Followers: 575

Kudos [?]: 163 [0], given: 0

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

Show Tags

17 Jun 2016, 22:03
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.
_________________
Re: In the xy-coordinate plane, is point R equidistant from   [#permalink] 17 Jun 2016, 22:03
Similar topics Replies Last post
Similar
Topics:
2 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
18 In the xy-coordinate plane, is point R equidistant from 9 04 Jul 2012, 18:19
Display posts from previous: Sort by