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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]

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New post 06 Jul 2011, 12:29
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (01:05) correct 36% (01:02) wrong based on 177 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)

help me please to understand this problem :shock:
it seems so easy, but i cant get E, which is the right answear
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Re: Does line L intersect with the circle centered at the  [#permalink]

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New post 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 :shock:
it seems so easy, but i cant get E, which is the right answear

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Circle_Line_L.PNG
Circle_Line_L.PNG [ 15.54 KiB | Viewed 2919 times ]


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

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

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New post 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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New post Updated on: 06 Jul 2011, 12:51
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 2912 times ]

File comment: statement 1 : radius is 3
a46d56580e4551be8f90e855e499ab96-2.png
a46d56580e4551be8f90e855e499ab96-2.png [ 9.76 KiB | Viewed 2914 times ]


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Originally posted by fivedaysleft on 06 Jul 2011, 12:46.
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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New post 06 Jul 2011, 12:48
o my God of course!!!!thanks and sorry :-D
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Re: Does line L intersect with the circle centered at the  [#permalink]

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New post 06 Jul 2011, 12:50
looking at both all three graphs it no conclusion can be drawn.
so ans E
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File comment: statement 2 : possibilty 2 =>x=y
3.png
3.png [ 13.9 KiB | Viewed 2907 times ]


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

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

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New post 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.

Answer is E.
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Re: Does line L intersect with the circle centered at the  [#permalink]

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New post 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 :shock:
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??

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

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New post 26 Mar 2016, 10:18
1
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 :shock:
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??

Please advise.


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:

Image

Attachment:
Untitled.png
Untitled.png [ 10.65 KiB | Viewed 1459 times ]

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

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New post 17 Apr 2018, 07:19
+1 for option E. Both statements together are not sufficient. The line passes through (3,3) and may or may not intersect the circle centered at origin and with a radius of 3.
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Re: Does line L intersect with the circle centered at the &nbs [#permalink] 17 Apr 2018, 07:19
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