Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 48109

In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
27 Apr 2015, 04:26
Question Stats:
57% (01:21) correct 43% (01:00) wrong based on 161 sessions
HideShow timer Statistics



Manager
Joined: 17 Mar 2015
Posts: 121

Re: In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
27 Apr 2015, 06:54
First thing to say is that if we got 2 parallel lines  distance between them will be constant (and thus minimal will be equal to an actual distance between 2 lines), on the other hand if lines intersect  the minimal distance is 0. #1 doesn't prevent us from choosing either parallel lines (y1 = x +2, y2 = x + 6) or those that intersect (y1 = 2x + 2, y2 = x + 6) which gives us respectively an answer less than 4 in the former case (gotta solve that right triangle) or 0 in the latter. Insufficient #2 same thing : either (y1 = 2x and y2 = 2x+1) or (y1 = 2x and y2 = 2x+1) in the first case distance is abit less than 1, in second case  0. Insufficient #1 +#2 doesn't change anything coz u can just substitute 1 to 4 in the example for #2  insufficient
Answer ends up being E



Current Student
Joined: 24 Mar 2015
Posts: 35
Concentration: General Management, Marketing
GPA: 3.21
WE: Science (Pharmaceuticals and Biotech)

Re: In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
27 Apr 2015, 08:35
Bunuel wrote: In the xy coordinate plane, what is the minimum distance between a point on line L and a point on line M?
(1) The absolute value of the difference between the yintercepts of the two lines is 4. (2) The absolute values of the slopes of the two lines are both equal to 2.
Kudos for a correct solution. The question stem asks us if we can provide a single specific value for the minimum distance between line L and line M. To do this we will need to know the equations of the lines to determine where this exact point will be. 1) There is no information regarding the slopes of the line therefore we are unable to generate equations that we can for sure claim that these lines follow  Not Sufficient. 2) There is no information on an intercept or fixed point on the line for us to use as reference for the slope and the slopes could be either +2 or 2 as we only know the absolute value giving us no indicator of the exact formulas that these lines follow  Not Sufficient. Together  Together we will still not have an indication of what the exact slopes of the lines will be so we will still not have sufficient information to answer the original question posed. Select answer choice E.
_________________
Please pass me a +KUDOS if you liked my post! Thanks!
Do not compare yourself to others, compare yourself to who you were yesterday.



Manager
Joined: 15 Mar 2015
Posts: 113

Re: In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
27 Apr 2015, 08:44
I'm simply guessing, yet again. (I) Tells us that there's a distance of 4 between the intercepts at X=0. Not sufficient as the slope might not be equal (in which case the distance is constant). (II) Tells us that the slope is either 2 or 2 for the both. If both are negative, then we could answer the question because the distance would be 4. If both are different, then they will intersect and then it would be 0. As several possible options are available, the answer should be E.
_________________
I love being wrong. An incorrect answer offers an extraordinary opportunity to improve.



Senior Manager
Joined: 27 Dec 2013
Posts: 274

Re: In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
27 Apr 2015, 10:14
I am slightly tempted to take the Option E. I know bunuel's questions are never easy. My though process. 1. The absolute difference between the Y intercept of the lines is 4. The lines can be parallel or even the slant lines(having slope). Not sufficient. 2. The absolute value of the slopes of the lines is 2. The absolute of a number has two forms + and  Lets say One line is Y=2x+1 and another line Y=2x+6; (Testing one positive and one negative; Lines interesect) Lets say one line is Y=2x+1 and another line is Y= 2x+6; (Testing both positive; Parallel lines; Distance same. Lets say one line is Y=2x+1 and another line is Y=2x+6 (Testing both slopes negative; Parallel lines;Distance same) Both options together, Y= 2x+3; Y= 2x1 (interesecting lines) Y=2x+0; Y=2x4 Y=2x+2 ; Y=2x2 (parallel lines) Hence My choice is E. Bunuel wrote: In the xy coordinate plane, what is the minimum distance between a point on line L and a point on line M?
(1) The absolute value of the difference between the yintercepts of the two lines is 4. (2) The absolute values of the slopes of the two lines are both equal to 2.
Kudos for a correct solution.
_________________
Kudos to you, for helping me with some KUDOS.



Intern
Joined: 24 Mar 2015
Posts: 1

Re: In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
30 Apr 2015, 18:55
Statement (I) just means that at the yaxis, these two lines are 4 units apart, but tells us nothing about the slope. They could be perpendicular lines (min distance 0, where they intersect) or parallel lines (constant distance of 4). Not sufficient.
Statement (II) tells us that the slopes are either 2 or 2, though not necessarily which is which. Again, we could have parallel lines or intersecting lines. Not sufficient.
Statement (I) + (II) still do not tell us if the lines are parallel or intersecting, yielding possible answers of 4 or 0. Not sufficient.
E is the answer.



Math Expert
Joined: 02 Sep 2009
Posts: 48109

Re: In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
04 May 2015, 05:04
Bunuel wrote: In the xy coordinate plane, what is the minimum distance between a point on line L and a point on line M?
(1) The absolute value of the difference between the yintercepts of the two lines is 4. (2) The absolute values of the slopes of the two lines are both equal to 2.
Kudos for a correct solution. MANHATTAN GMAT OFFICIAL SOLUTION:Imagine two lines in a plane. Either they cross, or they don’t. If they cross, then the “minimum distance” between a point on one line and a point on the other is zero (because you can pick the same point for both lines, namely the intersection point). If the lines don’t cross, then they’re parallel to each other, and the minimum distance between a point on one line and a point on the other line is what you normally think of as the distance between two parallel lines – go “straight across the street” from one line to the other. Statement 1: NOT SUFFICIENT. One line goes through the yaxis at a point 4 units away from where the second line goes through the yaxis. However, you have no idea whether these lines cross each other somewhere else, so there’s no way to know the minimum distance between a point on one line and a point on the other. Statement 2: NOT SUFFICIENT. The lines could both have slope 2 (and therefore be parallel), they could both have slope 2 (and also be parallel), or one could have slope 2 and the other could have slope 2 (in which case they would cross). We don’t know whether the lines cross or not, so again, we can’t know the minimum distance between the points. Statements 1 & 2 together: STILL NOT SUFFICIENT. Even together, the statements don’t narrow down the cases sufficiently. If one line has slope 2 and yintercept of 4, while the other line has slope 2 and yintercept of 0, then the lines will cross and the minimum distance between them is zero. But if the two lines both have slope 2 (and the respective intercepts), then the minimum distance between them is not zero. The correct answer is E .
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Board of Directors
Joined: 17 Jul 2014
Posts: 2717
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
03 May 2016, 19:52
Bunuel wrote: In the xy coordinate plane, what is the minimum distance between a point on line L and a point on line M?
(1) The absolute value of the difference between the yintercepts of the two lines is 4. (2) The absolute values of the slopes of the two lines are both equal to 2.
Kudos for a correct solution. took me some time to double check and visualize... 1. distance between interceptors is 4 units. suppose we have 2 parallel horizontal lines. the distance is always 4. but if the lines intersect each other, then the minimum distance is 0. 2. slope is either positive 2, or negative 2. we can have 2 parallel lines, or we can have 2 intersecting lines. not sufficient. 1+2 we can have parallel lines or we can have two intersecting lines. E



NonHuman User
Joined: 09 Sep 2013
Posts: 7776

Re: In the xy coordinate plane, what is the minimum distance between a po
[#permalink]
Show Tags
23 Nov 2017, 13:55
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: In the xy coordinate plane, what is the minimum distance between a po &nbs
[#permalink]
23 Nov 2017, 13:55






