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In the XY-coordinate plane, line L and line K intersect

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 Post subject: In the XY-coordinate plane, line L and line K intersect  Posted: Mon Feb 13, 2012 2:35 pm
 Forum Guests

Posts: 9
 plz suggest how to approach this question?in XY Plane, line K passes through the point(1,a) and L passes through the (1,b) and both the lines passes through the origin point.Whether K's Slope greater than the L slpoe?1. ab>02.|a| > |b|

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Tue Feb 14, 2012 5:28 am
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Posts: 7
 Hi Pratibha,Is the OA = (C)?Approach:Use y=mx+c equation. Since lines pass through (1,a) and (1,b) resply, we have:1=am1 + C11=bm2 + C2Since the lines also pass through (0,0), C1=0 and C2=0.Hence, m1= (b/a)m2. Therefore, the question is actually is b>a?(I) : a and b have same signs, not sufficient.(II): Absolute values are less, not sufficient.Combined: Sufficient, when both have same signs and |a| > |b| then b is necessarily greater than a.Hope it helps,Syed

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Tue Feb 14, 2012 5:39 am
 Forum Guests

Posts: 9
 Hi Syed,U have written that{Use y=mx+c equation. Since lines pass through (1,a) and (1,b) resply, we have:1=am1 + C11=bm2 + C2}why did u put 1 in place of Y in Y= mX+CAs we know that 1 is x cordinate and a is y cordinate.Please explain. and OA is E.

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Tue Feb 14, 2012 5:59 am
 Forum Guests

Posts: 7
 Yea, my mistake. This explains why you should not solve quant questions at work ;)Nevertheless, I think you must have got the answer now. Just use a & b as (3,2) & (-3,-2) to prove & disprove.

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Tue Feb 14, 2012 6:12 am
 Forum Guests

Posts: 9
 got it :) why did u get it wrong. I was just wanted to confirm my approach.. its same as u told... Thanx for ur effort ...

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Tue Feb 14, 2012 6:17 am
 Forum Guests

Posts: 7
 I took the points as (a,1) and (b,1). U r wlcmd,Syed

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Sat Feb 18, 2012 12:46 pm
 Students

Posts: 8
 You can also say:M(k) = a (y2-y1/x2-x1)M(l) = b Then just pick numbers. Option A - ab > 0.- Does not help here at all. It can be 6.3 > 0 or -6 X -3 > 0 Option B - |a| >|b|- Does not work either. It can 6 > 3 or |-6| > |-3|Combine both Same deal. Both the numbers can be either positive or negative. Hence Insufficient, Answer - E

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Sun Feb 19, 2012 10:25 pm
 ManhattanGMAT Staff

Posts: 2390
 It is always great to see students helping each other! Thanks everyone! _________________Jamie NelsonManhattanGMAT Instructor

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Sat Mar 24, 2012 3:09 pm
 Students

Posts: 4
 If I consider both lines to have negative slope using option C then must I assume that a slope of -6 is less than a slope of -3 ?Although -6<-3 but a slope of -6 is steeper than -3 no ?I'm confused ..

 Post subject: Re: In the XY-coordinate plane, line L and line K intersect  Posted: Sun Apr 22, 2012 4:53 am
 ManhattanGMAT Staff

Posts: 4404
Location: Southwest Airlines, seat 21C
 you seem to be purposely misinterpreting the definition of "less".. _________________Tim SandersManhattan GMAT Instructor

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