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Does line L intersect with the circle centered at the

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Does line L intersect with the circle centered at the [#permalink] New post 06 Jul 2011, 11:29
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A
B
C
D
E

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Question Stats:

80% (01:19) correct 20% (00:39) wrong based on 15 sessions
Does line L intersect with the circle centered at the origin?
1)the radius of the circle is 3
2)L passes through point (3,3)

help me please to understand this problem :shock:
it seems so easy, but i cant get E, which is the right answear
[Reveal] Spoiler: OA
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Re: coordinte geometry question [#permalink] New post 06 Jul 2011, 11:43
Galiya wrote:
Does line L intersect with the circle centered at the origin?
1)the radius of the circle is 3
2)L passes through point (3,3)

help me please to understand this problem :shock:
it seems so easy, but i cant get E, which is the right answear

Attachments

Circle_Line_L.PNG
Circle_Line_L.PNG [ 15.54 KiB | Viewed 1119 times ]


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Re: coordinte geometry question [#permalink] New post 06 Jul 2011, 11:44
aaah! fluke! i was working on the solution! made graphs and everything! you beat me by a minute!
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Re: coordinte geometry question [#permalink] New post 06 Jul 2011, 11:45
fivedaysleft wrote:
aaah! fluke! i was working on the solution! made graphs and everything! you beat me by a minute!


Please post that. Two are better than one.:)
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Re: coordinte geometry question [#permalink] New post 06 Jul 2011, 11:46
anyway, here it is
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File comment: statement 2 : possibility 1 => x+y=6
2.png
2.png [ 11.29 KiB | Viewed 1113 times ]

File comment: statement 1 : radius is 3
a46d56580e4551be8f90e855e499ab96-2.png
a46d56580e4551be8f90e855e499ab96-2.png [ 9.76 KiB | Viewed 1112 times ]


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Last edited by fivedaysleft on 06 Jul 2011, 11:51, edited 1 time in total.
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Re: coordinte geometry question [#permalink] New post 06 Jul 2011, 11:48
o my God of course!!!!thanks and sorry :-D
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Re: coordinte geometry question [#permalink] New post 06 Jul 2011, 11:50
looking at both all three graphs it no conclusion can be drawn.
so ans E
Attachments

File comment: statement 2 : possibilty 2 =>x=y
3.png
3.png [ 13.9 KiB | Viewed 1109 times ]


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Re: coordinte geometry question [#permalink] New post 08 Jul 2011, 11:55
Galiya wrote:
Does line L intersect with the circle centered at the origin?
1)the radius of the circle is 3
2)L passes through point (3,3)

help me please to understand this problem :shock:
it seems so easy, but i cant get E, which is the right answear


Statement 1 insufficient
as it does not give any information about Line L

Statement 2 insufficient
as it does not give any information about the radius of the circle

combining the two
the line may be tangent also and in that case it will not intersect the circle :) :)
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Re: coordinte geometry question [#permalink] New post 08 Jul 2011, 17:53
1. Not sufficient

as we dont know anything about L

2. Not sufficient

we can consider a line passing through 3,3 and 0,0 => line passes through origin

we can consider another line passing through 3,3 and not passing through 0,0 (lets say 5,0) => line does not pass
through origin

together ,
3,3 is not on the circle. we can still consider the same examples as in 2 . Hence not sufficient.

Answer is E.
Re: coordinte geometry question   [#permalink] 08 Jul 2011, 17:53
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