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Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

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28 Aug 2013, 12:36

I think the answer should be C - as if the like L has the positive slope and the line k has the slope less than slope of the line L - than in that case Line K will always intersect the Y axis above Line L - Keeping in mind they both have to intersect on point (3,3).

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

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28 Aug 2013, 18:03

nikhilsehgal wrote:

I think the answer should be C - as if the like L has the positive slope and the line k has the slope less than slope of the line L - than in that case Line K will always intersect the Y axis above Line L - Keeping in mind they both have to intersect on point (3,3).

Correct me if I am missing on something.

Nikhil

nikhil,

Even I think so. But we might be wrong.
_________________

but I am not very sure.Sorry I dont have the answer.

Hi,

I too got B as answer.

Consider the line L Y=mx+b

For line K y=nx+c

Both the line passes through Point (3,3) hence 3m+b=3n+c 3(m-n)=c-b

is c>b? 1) Slope of line L is positive does not give any details of n so insufficent 2) m<n m-n<0 => apply this in question so o>c-b c>b Statement 2 is sufficient Answer is B

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

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28 Aug 2013, 20:08

maaadhu wrote:

nikhilsehgal wrote:

I think the answer should be C - as if the like L has the positive slope and the line k has the slope less than slope of the line L - than in that case Line K will always intersect the Y axis above Line L - Keeping in mind they both have to intersect on point (3,3).

Correct me if I am missing on something.

Nikhil

nikhil,

Even I think so. But we might be wrong.

Folks - Line K has slope less than line C's Slope. What if slope of K is negative ?? In that case, Y intercept may or may not be greater. Hence both the conditin together is not sufficient. Hence IMO it has to be E.
_________________

Regards, Suyash

I want to live in a world where emails are short, love letters are brave, and every "Thank you" note is scribbled by hand. GO GREEN

Re: In the x-y plane, both line L and K pass through point (3, 3 [#permalink]

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28 Aug 2013, 23:20

I would like to solve it by the understanding the relative position of line in the plane.

+ve slope means line is making an angle < 90 degree with X-axis on the left hand side. Greater the slope greater the angle, while keeping the angle < 90 with x - axis on left hand side. With 90 degree angle with x axis , slope become undefined. thus, greater the angle, lower the value of Y intercept. Keep in mind both the lines pass through the same point (3,3)

Stmt 1: Slope of line L is positive This does not say anything about the slope of like k. 1. Slope of line K could be +ve , but less than that of line L, thus in this case, y intercept of line K would be higher. 2. If slope of line K > slope of line L, then y intercept of line K would be lower. Thus,Insufficient.

(2) Slope of line K is less than slope of Line L This is point 2 mentioned under choice 1 above. Thus, we can say that y intercept of line K would be higher. Thus, Sufficient.

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