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

 It is currently 23 May 2017, 03:00

### 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-plane, region R consists of all the points (x, y)

Author Message
Senior Manager
Joined: 05 Jun 2008
Posts: 304
Followers: 2

Kudos [?]: 145 [0], given: 0

In the xy-plane, region R consists of all the points (x, y) [#permalink]

### Show Tags

17 Sep 2008, 10:49
1
This post was
BOOKMARKED
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 xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point
(r, s) in region R ?
(1) 3r + 2s = 6
(2) r = 3 and s = 2
VP
Joined: 17 Jun 2008
Posts: 1381
Followers: 8

Kudos [?]: 328 [0], given: 0

### Show Tags

17 Sep 2008, 10:59
vivektripathi wrote:
In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point
(r, s) in region R ?
(1) 3r + 2s = 6
(2) r = 3 and s = 2

IMO E

R consists of all the points that satisfy 2x + 3y = 6
R can consis of other points also ,hence (1) and (2) are not SUFFI

IMO E
_________________

cheers
Its Now Or Never

Manager
Joined: 11 Jan 2008
Posts: 54
Followers: 0

Kudos [?]: 30 [0], given: 0

### Show Tags

17 Sep 2008, 12:10
cant we put r = 3 and s = 2 in the equation 2x + 3y = 6 and see if it satisfied it.

and similarly see if same points satisfy the equation in A and the one in the q.

what am i missing?

-Jack
Intern
Joined: 17 Sep 2008
Posts: 6
Schools: Chicago Booth, Wharton, MIT, Haas
Followers: 0

Kudos [?]: 8 [0], given: 0

### Show Tags

17 Sep 2008, 14:38
(r,s) must satisfy 2r+3s = 6 if it is in region R (I don't think the question implies that R could contain other points than those on this line).

(1) => 3r +2s =6 but we want to know if 2r +3s = 6 . This is true if (r,s) = (6/5,6/5), and false otherwise... INSUFF.

(2) => 2(3) + 3(2) = 12 which isn't equal to 6. This tells us (r,s) isn't in R. SUFF.

IMO : (B)
SVP
Joined: 17 Jun 2008
Posts: 1553
Followers: 11

Kudos [?]: 263 [0], given: 0

### Show Tags

17 Sep 2008, 23:07
Region R essentially means all the points on the line 2x + 3y = 6. If, I plot this line in XY plane, it will meet X-axis at (3,0) and Y-axis at (0,2).

Now stmt1 gives a line that meets X-axis at (2,0) and Y-axis at (0,3). This line definitely intersects the original line at one point. Hence, this is insufficient as only for one combination of r and s, this satisfies the original equation. For other combinations, it does not.

stmt 2: this is a point clearly not on the original line. Hence, sufficient.

Hence, B.
Intern
Joined: 04 Aug 2008
Posts: 11
Followers: 0

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

### Show Tags

18 Sep 2008, 07:50
Hi Vivek,

Well answer cannot be E at least when stmt 2 clearly says (r,s) doesnt lie on R
SVP
Joined: 07 Nov 2007
Posts: 1806
Location: New York
Followers: 37

Kudos [?]: 930 [0], given: 5

### Show Tags

18 Sep 2008, 08:20
vivektripathi wrote:
In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point
(r, s) in region R ?
(1) 3r + 2s = 6
(2) r = 3 and s = 2

Looks like we are missing something in this question..

region R consists of all the points (x, y) such that 2x + 3y = 6
-- this is line not a region.. so I believe we are missing <= or >= then it may be region.
( 2x + 3y <= 6 or 2x + 3y >= 6 represents region)
_________________

Smiling wins more friends than frowning

Senior Manager
Joined: 05 Jun 2008
Posts: 304
Followers: 2

Kudos [?]: 145 [0], given: 0

### Show Tags

18 Sep 2008, 08:27
The equation 2x + 3y = 6 represent the line, it can not represent the region........
question itself might be wrong.....however it appeared to me as it is and that's why i could not understood it. the source is unknowm (some papers in PDF Form)

Last edited by vivektripathi on 18 Sep 2008, 10:47, edited 1 time in total.
SVP
Joined: 07 Nov 2007
Posts: 1806
Location: New York
Followers: 37

Kudos [?]: 930 [0], given: 5

### Show Tags

18 Sep 2008, 08:37
vivektripathi wrote:
The equation 2x + 3y = 6 represent the line, it can not represent the region........
question itself might be wrong.....however it appeared to as it is and that's why i could understood it.

What is the source of this question?
_________________

Smiling wins more friends than frowning

Re: DS-Cordinate Geometry   [#permalink] 18 Sep 2008, 08:37
Display posts from previous: Sort by