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

 It is currently 06 May 2015, 02:59

### 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 rectangular coordinate system, are the points (r,s)

Author Message
TAGS:
Senior Manager
Joined: 13 Mar 2007
Posts: 295
Location: Russia, Moscow
Followers: 2

Kudos [?]: 22 [0], given: 0

In the rectangular coordinate system, are the points (r,s) [#permalink]  27 Aug 2007, 08:02
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
In the rectangular coordinate system, are the points (r,s) and (u,v) equidistant from the origin?

(1) r+s=1
(2) u=1-r and v=1-s
Intern
Joined: 30 Jun 2007
Posts: 7
Followers: 0

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

Re: Another DS question [#permalink]  27 Aug 2007, 11:18
[quote="Vlad77"]In the rectangular coordinate system, are the points (r,s) and (u,v) equidistant from the origin?

(1) r+s=1
(2) u=1-r and v=1-s[/quote]

Distance from origin is sqrt(r^2+s^2) and sqrt(u^2+v^2) respectively.

St1: Insuff. Says nothing about u & v.

St2: From
u^2+v^2 = s^2+r^2 +2 -2(r+s)

Insuff. We do not know r+s? If r+s >1, then (u,v) closer. r+s<1, (r,s) closer.

St1+St2: Sufficient. Equidistant points.
CEO
Joined: 29 Mar 2007
Posts: 2591
Followers: 16

Kudos [?]: 234 [0], given: 0

Re: Another DS question [#permalink]  27 Aug 2007, 14:58
In the rectangular coordinate system, are the points (r,s) and (u,v) equidistant from the origin?

(1) r+s=1
(2) u=1-r and v=1-s

Use the distance formula D=sqrt of (x1-x2)^2+(y1-y2)^2

Use the D formula for both (r,s) and (u,v) for x2 and y2 for both equations use 0,0.

This gives you r^2+s^2=u^2+v^2

now looking at the stmnts. 1 is clearly not sufficient

2: doesnt give us everything we need either.

S1 and S2 give us enough to solve this out.

Ans C
Senior Manager
Joined: 13 Mar 2007
Posts: 295
Location: Russia, Moscow
Followers: 2

Kudos [?]: 22 [0], given: 0

Thanks
Director
Joined: 06 Sep 2006
Posts: 745
Followers: 1

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

Re: Another DS question [#permalink]  15 Sep 2007, 05:57
S1=> 1 - s = r
1 - r = s

From S2 => (u, v) = (1-r, 1-s)

Combining:
(u, v) = (1-r, 1-s)
(u,v) = (s, r)

(r, s) and (s, r) [(u, v)] are equidistance from the origin.
C
Re: Another DS question   [#permalink] 15 Sep 2007, 05:57
Similar topics Replies Last post
Similar
Topics:
In the rectangular coordinate system, are the points (r,s) 4 03 Aug 2007, 18:48
In the rectangular co-ordinate systems, are the points (r,s) 2 22 Jul 2006, 15:00
In the rectangular coordinate system, are the points (r,s) 6 15 Jun 2006, 00:12
In the rectangular coordinate system, are the points (r,s) 10 21 Feb 2006, 07:31
In the rectangular coordinate system, are the points (r,s) 3 04 Jan 2006, 18:00
Display posts from previous: Sort by