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

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

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New post 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.

Kudos [?]: 104 [0], given: 0

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Re: Zumit DS 014 [#permalink]

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New post 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.

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Re: Zumit DS 014 [#permalink]

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New post 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

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Re: Zumit DS 014 [#permalink]

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New post 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.

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Re: Zumit DS 014 [#permalink]

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New post 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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Re: Zumit DS 014 [#permalink]

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New post 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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Re: Zumit DS 014   [#permalink] 06 Sep 2008, 23:52
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