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In the rectangular coordinate system above, the shaded region is bound
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04 Dec 2014, 07:46
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Tough and Tricky questions: Coordinate Geometry. 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 Attachment:
20141204_1846.png [ 7.38 KiB  Viewed 4646 times ]
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Re: In the rectangular coordinate system above, the shaded region is bound
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04 Dec 2014, 10:46
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.



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Re: In the rectangular coordinate system above, the shaded region is bound
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04 Dec 2014, 11:08
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



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Re: In the rectangular coordinate system above, the shaded region is bound
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04 Dec 2014, 22:20
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 4499 times ]
Only for option D, for x = 1, y = 3 (Out of range shown by red dot)



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Re: In the rectangular coordinate system above, the shaded region is bound
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18 Jul 2015, 05:54
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



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Re: In the rectangular coordinate system above, the shaded region is bound
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14 Jul 2016, 10:50
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 )
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Re: In the rectangular coordinate system above, the shaded region is bound
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25 Jun 2018, 22:12
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
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Re: In the rectangular coordinate system above, the shaded region is bound
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25 Jun 2018, 23:26
You can also eliminate choice D since the line mentioned has a positive slope, it would go THROUGH the shaded region.



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Re: In the rectangular coordinate system above, the shaded region is bound
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25 Aug 2019, 22:36
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Re: In the rectangular coordinate system above, the shaded region is bound
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