December 11, 2018 December 11, 2018 09:00 PM EST 10:00 PM EST Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST. December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51096

In the rectangular coordinate system above, the shaded region is bound
[#permalink]
Show Tags
04 Dec 2014, 06:46
Question Stats:
77% (01:29) correct 23% (01:20) wrong based on 254 sessions
HideShow timer Statistics



Manager
Joined: 12 Sep 2014
Posts: 146
Concentration: Strategy, Leadership
GPA: 3.94

Re: In the rectangular coordinate system above, the shaded region is bound
[#permalink]
Show Tags
04 Dec 2014, 09:46
Note here that the straight lines with no slope are the easiest to identify. This includes x = 0, x = 1 and y = 0. The last thing to determine the is slanted line that forms the upper boundary of the shape.
We have two points (3,0) and (0,1)from this we can determine that the yintercept is 1 (from the second point) and the slope = (10)/(03) = 1/3. The equation of the line is y = 1/3*x + 1
Rearrange to get E, which means Choice D is NOT one of the bounding equations.



Manager
Joined: 21 Sep 2012
Posts: 214
Location: United States
Concentration: Finance, Economics
GPA: 4
WE: General Management (Consumer Products)

Re: In the rectangular coordinate system above, the shaded region is bound
[#permalink]
Show Tags
04 Dec 2014, 10:08
A) x = 0  stands for Y axis. B) y = 0  stands for X axis C) x = 1  stands for vertical line passing through point (1,0) D) x − 3y = 0 ..... y=x/3... compare to y=mx+c form.... we get positive slope.... line in graph has negative slope.... answer E) y + 1/3*x = 1 ..... y=x/3+1..... compare to y=mx+c..... we get negative slope.... could be the equation of slanting line
Ans = D



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1826
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: In the rectangular coordinate system above, the shaded region is bound
[#permalink]
Show Tags
04 Dec 2014, 21:20
Answer = D) x − 3y = 0 Range of Y: 0 <= y <= 1 Range of X: 0 <= x <= 3 Option A, B, C, E is in the range as shown in pink dots (Refer diagram below) Attachment:
20141204_1846.png [ 8.49 KiB  Viewed 3783 times ]
Only for option D, for x = 1, y = 3 (Out of range shown by red dot)
_________________
Kindly press "+1 Kudos" to appreciate



Director
Joined: 10 Mar 2013
Posts: 504
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

Re: In the rectangular coordinate system above, the shaded region is bound
[#permalink]
Show Tags
18 Jul 2015, 04:54
A,B and C are staight lines and are shown in the grafik, so we are left with DE > If the equation is one of the lines than any of the given points gives us a solution D) x − 3y = 0 > X=3Y, let test numbers (0,1) 0=3 is not true... our answer is (D) E) y + 1/3*x = 1 Y using same logix as above 1+1/3*0=1 it's TRUE
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660



Director
Joined: 04 Jun 2016
Posts: 572

Re: In the rectangular coordinate system above, the shaded region is bound
[#permalink]
Show Tags
14 Jul 2016, 09:50
Bunuel wrote: Tough and Tricky questions: Coordinate Geometry. Attachment: 20141204_1846.png In the rectangular coordinate system above, the shaded region is bounded by a straight line. Which of the following is NOT an equation of one of the boundary lines? A) x = 0 B) y = 0 C) x = 1 D) x − 3y = 0 E) y + 1/3*x = 1 Kudos for a correct solution.Source: Chili Hot GMAT D is the correct answer Solving D in the form of y=mx+b gives us y=x/3 This certainly means a positive slope .. but there is no line in the diagram that have a positive slope. All the lines either have zero slopes (horizontal lines), Infinite slope (vertical lines) or negative slope (The inclined line )
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE : 17th SEPTEMBER 2016. .. 16 March 2017  I am back but for all purposes please consider me semiretired.



Intern
Joined: 02 Sep 2015
Posts: 42

Re: In the rectangular coordinate system above, the shaded region is bound
[#permalink]
Show Tags
25 Jun 2018, 21:12
Answer: D
First 3 choices are vertical and horizontal line constituting the 3 sides of shaded region.
Substitute the 3 coordinates of the shaded region on the remaining 2 choices and option D does not satisy one of the coordinates
Posted from my mobile device



Manager
Joined: 20 Apr 2018
Posts: 175
Concentration: Technology, Nonprofit
WE: Analyst (NonProfit and Government)

Re: In the rectangular coordinate system above, the shaded region is bound
[#permalink]
Show Tags
25 Jun 2018, 22:26
You can also eliminate choice D since the line mentioned has a positive slope, it would go THROUGH the shaded region.




Re: In the rectangular coordinate system above, the shaded region is bound &nbs
[#permalink]
25 Jun 2018, 22:26






