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# Circle C and line K lie in the xy plane.If circle C is

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Manager
Joined: 21 Feb 2009
Posts: 110
Followers: 1

Kudos [?]: 16 [0], given: 4

Circle C and line K lie in the xy plane.If circle C is [#permalink]  26 Mar 2009, 11:49
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63% (02:06) correct 38% (00:25) wrong based on 13 sessions
Circle C and line K lie in the xy plane.If circle C is centered at the origin and has radius 1,does line k intersect circle C?
1. The x-intercept of line k is greater than 1.
2. The slope of line k is -1/10
Manager
Joined: 19 May 2008
Posts: 165
Location: Mumbai
Followers: 1

Kudos [?]: 3 [0], given: 0

Re: Data Sufficiency-1 [#permalink]  26 Mar 2009, 12:06
1. The x-intercept of line k is greater than 1.

We know the x-intercept but the slope of the line is not known. If line k has a very small slope and intersects the x-axis at 2,3,4..the line will intersect the circle and if the x-intercept is a relatively large number with a high slope, it will not intersect the circle...So statement 1 is insufficient.

2. The slope of line k is -1/10

Again, we know the slope, but we dont know where it intersects the x-axis. We know that we have a relatively flat line..so if it intersects the x-axis at 2,3,4,5..10 , it will intersect the circle but if it intersects the x-axis at 50,100,200 , it will not intersect the circle..So statement 2 is insufficient.

We are down to C and E.

Together, we again dont have sufficient info.
Let's take an example
Slope=-1/10 , x-axis intersection at (4,0)
y-y1=m(x-x1)
y=-0.1x+0.4...this line will intersect the y-axis at 0.4 ( hence intersect circle)

take another example
slope=-1/10, x-axis intersection at (100,0)
y=-0.1x+10 ..this line will intersect the y-axis at 10 ( hence NOT intersect the circle)...So it is insufficient.

What's the OA?
Senior Manager
Joined: 16 Jan 2009
Posts: 362
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Followers: 2

Kudos [?]: 67 [1] , given: 16

Re: Data Sufficiency-1 [#permalink]  26 Mar 2009, 12:12
1
KUDOS
let equation of the line k be
y = mx + b

1. The x-intercept of line k is greater than 1.
- it can be 1.5 or 100 , does not specify anything specific , INSUFFICIENT.

2. The slope of line k is -1/10
so ,
y = -x/10 + b
still , INSUFFICIENT as no information has been mentioned regarding x.

using both together,
y = -x/10 + b
still , INSUFFICIENT as b varies with x and may or may not be less than 1.

_________________

Lahoosaher

Manager
Joined: 21 Feb 2009
Posts: 110
Followers: 1

Kudos [?]: 16 [0], given: 4

Re: Data Sufficiency-1 [#permalink]  26 Mar 2009, 14:34
Perfect Guys.... OA is E
Re: Data Sufficiency-1   [#permalink] 26 Mar 2009, 14:34
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# Circle C and line K lie in the xy plane.If circle C is

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