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In the xy-plane, line k passes through the point (1,1) and

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In the xy-plane, line k passes through the point (1,1) and [#permalink] New post 28 Apr 2006, 22:10
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A
B
C
D
E

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In the xy-plane, line k passes through the point (1,1) and the line m passes through the point (1,-1). Are lines k and m perpendicular to each other?

1) lines k and m intersect at the point (1,-1)
2) line k intersects the x axis at the point (1,0)
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Re: DS line question [#permalink] New post 28 Apr 2006, 22:24
dinesh8 wrote:
In the xy-plane, line k passes through the point (1,1) and the line m passes through the point (1,-1). Are lines k and m perpendicular to each other?

1) lines k and m intersect at the point (1,-1)
2) line k intersects the x axis at the point (1,0)


I'll take E

(1) line k could be x = 1, and line m could be y = -1. However, line m could also be a line that crosses the origin and (1, -1). Insufficient

(2) Simply says line k is a straight line @ x = 1. Insufficient

(1) + (2) Still insufficient
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 [#permalink] New post 29 Apr 2006, 04:26
Agreed with E...


Dude.. wait for a while before you post the OA! This is not a BUZZER Round!
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Re: DS line question [#permalink] New post 29 Apr 2006, 06:36
TeHCM wrote:
I'll take E

(1) line k could be x = 1, and line m could be y = -1. However, line m could also be a line that crosses the origin and (1, -1). Insufficient

(2) Simply says line k is a straight line @ x = 1. Insufficient

(1) + (2) Still insufficient


You simply :kill this one. Awesome!
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 [#permalink] New post 29 Apr 2006, 08:51
Actually condition (2) is a subset of (1) as far as line K is concerned. So the answer is E as (2) does not provide any additional information.
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 [#permalink] New post 29 Apr 2006, 19:33
sm176811 wrote:
Agreed with E...


Dude.. wait for a while before you post the OA! This is not a BUZZER Round!


lol plz wait before posting OA. we don't know the slope of m from both stmts, so its not possible to tell. therefore E.
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 [#permalink] New post 29 Apr 2006, 23:18
Agree with E :wink:
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 [#permalink] New post 30 Apr 2006, 06:00
Guys,

how do I find the distance between two parallel lines if I have their equations in the coordinate plane?
  [#permalink] 30 Apr 2006, 06:00
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