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# Does line L intersect with the circle centered at the

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Manager
Joined: 16 Jan 2011
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Does line L intersect with the circle centered at the [#permalink]

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06 Jul 2011, 12:29
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45% (medium)

Question Stats:

57% (00:42) correct 43% (00:39) wrong based on 101 sessions

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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)

[Reveal] Spoiler:
help me please to understand this problem
it seems so easy, but i cant get E, which is the right answear
[Reveal] Spoiler: OA

Kudos [?]: 175 [0], given: 15

Math Forum Moderator
Joined: 20 Dec 2010
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Re: Does line L intersect with the circle centered at the [#permalink]

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06 Jul 2011, 12:43
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
it seems so easy, but i cant get E, which is the right answear

Attachments

Circle_Line_L.PNG [ 15.54 KiB | Viewed 2416 times ]

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Re: Does line L intersect with the circle centered at the [#permalink]

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06 Jul 2011, 12:44
aaah! fluke! i was working on the solution! made graphs and everything! you beat me by a minute!
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Kudos [?]: 16 [0], given: 47

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Re: Does line L intersect with the circle centered at the [#permalink]

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06 Jul 2011, 12:45
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: Does line L intersect with the circle centered at the [#permalink]

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06 Jul 2011, 12:46
anyway, here it is
Attachments

File comment: statement 2 : possibility 1 => x+y=6

2.png [ 11.29 KiB | Viewed 2409 times ]

File comment: statement 1 : radius is 3

a46d56580e4551be8f90e855e499ab96-2.png [ 9.76 KiB | Viewed 2411 times ]

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Last edited by fivedaysleft on 06 Jul 2011, 12:51, edited 1 time in total.

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Re: Does line L intersect with the circle centered at the [#permalink]

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06 Jul 2011, 12:48
o my God of course!!!!thanks and sorry

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Re: Does line L intersect with the circle centered at the [#permalink]

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06 Jul 2011, 12:50
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 [ 13.9 KiB | Viewed 2405 times ]

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Re: Does line L intersect with the circle centered at the [#permalink]

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08 Jul 2011, 12:55
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
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: Does line L intersect with the circle centered at the [#permalink]

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08 Jul 2011, 18:53
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.

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Re: Does line L intersect with the circle centered at the [#permalink]

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26 Mar 2016, 09:19
fluke wrote:
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
it seems so easy, but i cant get E, which is the right answear

does above Point (3,3) lies on circle as the radius of the circle is 3??

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Re: Does line L intersect with the circle centered at the [#permalink]

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26 Mar 2016, 10:18
1
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Expert's post
smartguy595 wrote:
fluke wrote:
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
it seems so easy, but i cant get E, which is the right answear

does above Point (3,3) lies on circle as the radius of the circle is 3??

There is a post showing that it's not: does-line-l-intersect-with-the-circle-centered-at-the-116571.html#p941978

You could try to draw yourself:

[Reveal] Spoiler:
Attachment:

Untitled.png [ 10.65 KiB | Viewed 922 times ]

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Re: Does line L intersect with the circle centered at the   [#permalink] 26 Mar 2016, 10:18
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