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# In the xy-plane, what is the slope of line l ? (1) Line l

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Manager
Joined: 04 Jan 2008
Posts: 117
In the xy-plane, what is the slope of line l ? (1) Line l [#permalink]

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06 Sep 2008, 00:48
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In the xy-plane, what is the slope of line l ?

(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x – 1.

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Senior Manager
Joined: 28 Feb 2007
Posts: 296
Re: Zumit DS 014 [#permalink]

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06 Sep 2008, 01:03
A.

st1) L is parallel to line Y=1-x. So slope of L must be same.
st2) Slope can be anything.
Director
Joined: 23 Sep 2007
Posts: 767
Re: Zumit DS 014 [#permalink]

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06 Sep 2008, 01:04
dancinggeometry wrote:
In the xy-plane, what is the slope of line l ?

(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x – 1.

A

if a line DONT intersect another line, they must be parallel, so slope of line L is -1
VP
Joined: 05 Jul 2008
Posts: 1369
Re: Zumit DS 014 [#permalink]

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06 Sep 2008, 11:16
I have always remembered that parallel lines intersect in infinity.

Does the word xy plane exclude that situation here? If I am right in the above statement, Can some one comment why that does not apply here?

Snip from Wikipedia ( http://en.wikipedia.org/wiki/Parallel_(geometry) )

While in Euclidean geometry two geodesics can either intersect or be parallel, in general and in hyperbolic space in particular there are three possibilities. Two geodesics can be either:

1. intersecting: they intersect in a common point in the plane
2. parallel: they do not intersect in the plane, but do in the limit to infinity
3. ultra parallel: they do not even intersect in the limit to infinity

In the literature ultra parallel geodesics are often called parallel. Geodesics intersecting at infinity are then called limit geodesics.
VP
Joined: 17 Jun 2008
Posts: 1322
Re: Zumit DS 014 [#permalink]

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06 Sep 2008, 11:27
dancinggeometry wrote:
In the xy-plane, what is the slope of line l ?

(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x – 1.

(1) says l is parallel to y=1-x => slope can be obtained SUFFI
(2) l intersects this line ,can be at any angle hence INSUFFI
_________________

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Its Now Or Never

Manager
Joined: 04 Jan 2008
Posts: 117
Re: Zumit DS 014 [#permalink]

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06 Sep 2008, 23:52
OA is A. Bin 2 problem.

Thanks for the info icandy, though I believe we should not take the level of GMAT problems beyond high school syllabus.

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This is not a quality discussion. It has been retired.

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Re: Zumit DS 014   [#permalink] 06 Sep 2008, 23:52
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# In the xy-plane, what is the slope of line l ? (1) Line l

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