Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 08:20

### 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 (a, b)

Author Message
Director
Joined: 01 May 2007
Posts: 793
Followers: 2

Kudos [?]: 330 [0], given: 0

In the rectangular coordinate system, are the points (a, b) [#permalink]

### Show Tags

15 Jul 2008, 18:51
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In the rectangular coordinate system, are the points (a, b) and (c, d) equidistant from the origin?

(1) a/b = c/d

(2) sqrt(a^2) + sqrt(b^2) = sqrt(c^2) + sqrt(d^2)
Current Student
Joined: 28 Dec 2004
Posts: 3363
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 15

Kudos [?]: 297 [0], given: 2

### Show Tags

15 Jul 2008, 18:57
i think B makes sense to me..

basically says the distance of A and C is the same and so is B and D..

which means sqrt(a^2 + b^2)= sqrt(C^2 + d^2)

1) is insuff

a/b=c/d for instance a=6, b=3 c=12 d=6 they are not equidistant...but if a=b=c=d they are insuff..

2) |a|+|b|=|c|+|d|

now if |b|=o then |a|=|c|+|d|

i can also see when |b| is not equal to 0..

insuff...

together we know that |b| is not 0.. and infact |a|=|c| etc..

C it is.
Director
Joined: 27 May 2008
Posts: 544
Followers: 8

Kudos [?]: 335 [0], given: 0

### Show Tags

15 Jul 2008, 21:27
statement 1 : a/b = c/d take example 2,4 and 3,6 ... not suff

statement 2 : |a| + |b| = |c| + |d| take example 2,4 and 1,5 ... not suff

combine : a/b = c/d = k ---- (1)

|a| + |ka| = |c| + |kc|
(k+1) |a| = (k+1) |c|
|a| = |c|
from (1)
|b| = |d|

take any value for (a,b) = (3,6) the corresponding values of (c,d) will be (3,6)(-3,6)(-3,-6)(3,-6) ... in all cases the distance from (0,0) will be same .... Suff
VP
Joined: 03 Apr 2007
Posts: 1352
Followers: 4

Kudos [?]: 678 [0], given: 10

### Show Tags

15 Jul 2008, 22:01
jimmyjamesdonkey wrote:
In the rectangular coordinate system, are the points (a, b) and (c, d) equidistant from the origin?

(1) a/b = c/d

(2) sqrt(a^2) + sqrt(b^2) = sqrt(c^2) + sqrt(d^2)

C

distance = sqrt(a^2+b^2) = sqrt(c^2+d^2) =?

stat1 :NS
stat2 :NS

from 1 and 2 , a=c, b=d
sqrt(a^2+b^2) = sqrt(c^2+d^2)

suff
Director
Joined: 14 Aug 2007
Posts: 729
Followers: 10

Kudos [?]: 197 [0], given: 0

### Show Tags

16 Jul 2008, 05:56
goalsnr wrote:
jimmyjamesdonkey wrote:
In the rectangular coordinate system, are the points (a, b) and (c, d) equidistant from the origin?

(1) a/b = c/d

(2) sqrt(a^2) + sqrt(b^2) = sqrt(c^2) + sqrt(d^2)

C

distance = sqrt(a^2+b^2) = sqrt(c^2+d^2) =?

stat1 :NS
stat2 :NS

from 1 and 2 , a=c, b=d
sqrt(a^2+b^2) = sqrt(c^2+d^2)

suff

How did u calculate the portion I have marked red above?
SVP
Joined: 17 Jun 2008
Posts: 1553
Followers: 11

Kudos [?]: 264 [0], given: 0

### Show Tags

16 Jul 2008, 07:06
Stmt1: a/b = c/d or (a+b)/b = (c+d)/d

Stmt 2: a+b = c+d

Thus, from Stmt1 : b = d and consequently, a = c.

Thus, sqrt(a^2+b^2) = sqrt(c^2+d^2)

Re: MGMAT: DS Coordinates   [#permalink] 16 Jul 2008, 07:06
Display posts from previous: Sort by