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In the xy-plane, is the slope of line L greater than the

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In the xy-plane, is the slope of line L greater than the [#permalink] New post 01 Feb 2012, 18:13
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In the xy-plane, is the slope of line L greater than the slope of line K?

(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.
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Re: Coordinate [#permalink] New post 02 Feb 2012, 00:21
I believe drawing this out will make the scenario's clearer.
However, 3 scenarios here - slope of L > | = | < m considered.
a. meaning L can be = M or > | < M too.
not sufficient.

b. no clue about the lines and slopes here.
insufficient.

a+b
means, Line L has negative slope hence it enters 2nd quad
Line M has positive slope hence it enters 2nd quad from 3rd quad(possibly).

thus true.
Sufficient.
C it is.
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Re: Coordinate [#permalink] New post 02 Feb 2012, 03:48
In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.


From statement 1 alone we dont have any information regarding the slopes of the two lines .
statement 2 alone we cannot predict anything about the slope.
Now combine both the statements.
L passes from 1 st quadrant to the 2 nd quadrant.Implies slope is negative.

K is already in the second quadrant( -5,0) .For it to interect with the line L it has to have a positive slope or even if its negative ,its magnitude is higher than that of line L.

Hence 2 statements together are requried . Sorry you need to imagine the figure ,I would have helped better with a diagram !!
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Re: Coordinate [#permalink] New post 02 Feb 2012, 03:55
I got C as well but its super easy after drawing a figure
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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 02 Feb 2012, 11:53
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Expert's post
Smita04 wrote:
In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.


Answer is E, not C as everyone stated above.

Note that: a steeper incline indicates a higher absolute value of the slope.

Obviously each statement alone is not sufficient. When taken together, we can have 2 cases:
Attachment:
The slope of K is greater than that of L.png
The slope of K is greater than that of L.png [ 8.41 KiB | Viewed 3793 times ]
You can see that the slope of K (blue) is greater than that of L (red): 2>-1;

Attachment:
The slope of K is less than that of L.png
The slope of K is less than that of L.png [ 8.09 KiB | Viewed 3790 times ]
In this case the slope of K (blue) is less than that of L (red): -8<-1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L.

Answer: E.

Check Coordinate Geometry chapter of Math Book for more on this topic: math-coordinate-geometry-87652.html

Similar questions to practice:
if-the-slopes-of-the-line-l1-and-l2-are-of-the-same-sign-is-126759.html
slopes-of-m-and-n-124025.html
line-n-and-p-lie-in-the-xy-plane-is-the-slope-of-the-line-30553.html
lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-97007.html

Hope it helps.
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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 28 Apr 2012, 11:27
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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 21 Oct 2012, 08:24
Bunuel wrote:
Smita04 wrote:
In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.


Answer is E, not C as everyone stated above.

Note that: a steeper incline indicates a higher absolute value of the slope.

Obviously each statement alone is not sufficient. When taken together, we can have 2 cases:
Attachment:
The slope of K is greater than that of L.png
You can see that the slope of K (blue) is greater than that of L (red): 2>-1;

Attachment:
The slope of K is less than that of L.png
In this case the slope of K (blue) is less than that of L (red): -8<-1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L.

Answer: E.

Check Coordinate Geometry chapter of Math Book for more on this topic: math-coordinate-geometry-87652.html

Similar questions to practice:
if-the-slopes-of-the-line-l1-and-l2-are-of-the-same-sign-is-126759.html
slopes-of-m-and-n-124025.html
line-n-and-p-lie-in-the-xy-plane-is-the-slope-of-the-line-30553.html
lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-97007.html

Hope it helps.


Bunnel

I think when we follow graphs we might miss some of the cases, i think it is better to solve by algebra? am i correct?
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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 23 Oct 2012, 07:18
Expert's post
mydreammba wrote:
Bunuel wrote:
Smita04 wrote:
In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.


Answer is E, not C as everyone stated above.

Note that: a steeper incline indicates a higher absolute value of the slope.

Obviously each statement alone is not sufficient. When taken together, we can have 2 cases:
Attachment:
The slope of K is greater than that of L.png
You can see that the slope of K (blue) is greater than that of L (red): 2>-1;

Attachment:
The slope of K is less than that of L.png
In this case the slope of K (blue) is less than that of L (red): -8<-1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L.

Answer: E.

Check Coordinate Geometry chapter of Math Book for more on this topic: math-coordinate-geometry-87652.html

Similar questions to practice:
if-the-slopes-of-the-line-l1-and-l2-are-of-the-same-sign-is-126759.html
slopes-of-m-and-n-124025.html
line-n-and-p-lie-in-the-xy-plane-is-the-slope-of-the-line-30553.html
lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-97007.html

Hope it helps.


Bunnel

I think when we follow graphs we might miss some of the cases, i think it is better to solve by algebra? am i correct?


You should choose approach which suits you best. For me personally, it wasn't too hard to find two examples satisfying both statements and giving different answers to the question
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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 27 Oct 2012, 03:45
Bunuel wrote:
Smita04 wrote:
In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.


Answer is E, not C as everyone stated above.

Note that: a steeper incline indicates a higher absolute value of the slope.

Obviously each statement alone is not sufficient. When taken together, we can have 2 cases:
Attachment:
The slope of K is greater than that of L.png
You can see that the slope of K (blue) is greater than that of L (red): 2>-1;

Attachment:
The slope of K is less than that of L.png
In this case the slope of K (blue) is less than that of L (red): -8<-1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L.

Answer: E.

Check Coordinate Geometry chapter of Math Book for more on this topic: math-coordinate-geometry-87652.html

Similar questions to practice:
if-the-slopes-of-the-line-l1-and-l2-are-of-the-same-sign-is-126759.html
slopes-of-m-and-n-124025.html
line-n-and-p-lie-in-the-xy-plane-is-the-slope-of-the-line-30553.html
lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-97007.html

Hope it helps.



Bunuel could you please explain how did you get the equations of the line for both the figures....
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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 08 Nov 2012, 13:07
Why do you consider absolute value of the slope?

Not be applicable here, but maybe in another problem?
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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 08 May 2013, 22:23
Hi bunuel...
I must say excellent solution but one thing that i did not understand is how did u form equation for the two different lines when we do not have any point of intersection .......
Can u pls elaborate on that point.

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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 09 May 2013, 01:39
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Archit143 wrote:
Hi bunuel...
I must say excellent solution but one thing that i did not understand is how did u form equation for the two different lines when we do not have any point of intersection .......
Can u pls elaborate on that point.

Archit


We know that the lines intersect in 2nd quadrant, so the lines drawn are just examples.
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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

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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 09 May 2013, 01:52
Bunuel wrote:
Smita04 wrote:
In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.


Answer is E, not C as everyone stated above.

Note that: a steeper incline indicates a higher absolute value of the slope.

Obviously each statement alone is not sufficient. When taken together, we can have 2 cases:
Attachment:
The slope of K is greater than that of L.png
You can see that the slope of K (blue) is greater than that of L (red): 2>-1;

Attachment:
The slope of K is less than that of L.png
In this case the slope of K (blue) is less than that of L (red): -8<-1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L.

Answer: E.

Check Coordinate Geometry chapter of Math Book for more on this topic: math-coordinate-geometry-87652.html

Similar questions to practice:
if-the-slopes-of-the-line-l1-and-l2-are-of-the-same-sign-is-126759.html
slopes-of-m-and-n-124025.html
line-n-and-p-lie-in-the-xy-plane-is-the-slope-of-the-line-30553.html
lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-97007.html

Hope it helps.


Bunnel, I too answered E, but just want you to confirm once if my approach is correct. Even after combining both statements, i realized that, since L passes through 2nd quadrant, it can as well pass through point K, if say, it passes through K, then the answer depends on slope of K. If it passes above point K in 2nd quadrant, then also, it depends on slope of K. Hence, data is insufficient. Is my interpretation correct?
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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 09 May 2013, 01:58
Expert's post
mamathak wrote:
Bunuel wrote:
Smita04 wrote:
In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd quadrant.


Answer is E, not C as everyone stated above.

Note that: a steeper incline indicates a higher absolute value of the slope.

Obviously each statement alone is not sufficient. When taken together, we can have 2 cases:
Attachment:
The slope of K is greater than that of L.png
You can see that the slope of K (blue) is greater than that of L (red): 2>-1;

Attachment:
The slope of K is less than that of L.png
In this case the slope of K (blue) is less than that of L (red): -8<-1/2. Here, both lines have negative slopes. Line K is steeper than line L, which indicates that the absolute value of its slope is greater than that of line L, since slopes are negative, then slope of K is "more negative" (so less) than slope of L.

Answer: E.

Check Coordinate Geometry chapter of Math Book for more on this topic: math-coordinate-geometry-87652.html

Similar questions to practice:
if-the-slopes-of-the-line-l1-and-l2-are-of-the-same-sign-is-126759.html
slopes-of-m-and-n-124025.html
line-n-and-p-lie-in-the-xy-plane-is-the-slope-of-the-line-30553.html
lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-97007.html

Hope it helps.


Bunnel, I too answered E, but just want you to confirm once if my approach is correct. Even after combining both statements, i realized that, since L passes through 2nd quadrant, it can as well pass through point K, if say, it passes through K, then the answer depends on slope of K. If it passes above point K in 2nd quadrant, then also, it depends on slope of K. Hence, data is insufficient. Is my interpretation correct?


Do you mean line K? Point has no slope...
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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

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Re: In the xy-plane, is the slope of line L greater than the [#permalink] New post 23 May 2013, 01:41
Expert's post
rajasami4u wrote:
hi @bunuel

How to solve this by algebraic method?


Check algebraic approach for similar problems:
in-the-xy-plane-if-line-k-has-negative-slope-and-passes-135197.html
line-m-and-n-pass-through-point-1-2-is-the-slope-of-m-90629.html
lines-n-and-p-lie-in-the-xy-plane-is-the-slope-of-line-n-127999.html

Hope it helps.
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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.


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Re: In the xy-plane, is the slope of line L greater than the   [#permalink] 23 May 2013, 01:41
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