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# Does line L intersect with the circle centered at the

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Manager
Joined: 15 Jan 2011
Posts: 101
Does line L intersect with the circle centered at the  [#permalink]

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06 Jul 2011, 11:29
3
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:05) correct 36% (01:01) wrong based on 179 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
it seems so easy, but i cant get E, which is the right answear
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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, 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
it seems so easy, but i cant get E, which is the right answear

Attachments

Circle_Line_L.PNG [ 15.54 KiB | Viewed 2951 times ]

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Manager
Joined: 29 Jun 2011
Posts: 62
Re: Does line L intersect with the circle centered at the  [#permalink]

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

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

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Updated on: 06 Jul 2011, 11:51
anyway, here it is
Attachments

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

2.png [ 11.29 KiB | Viewed 2944 times ]

File comment: statement 1 : radius is 3

a46d56580e4551be8f90e855e499ab96-2.png [ 9.76 KiB | Viewed 2946 times ]

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How charged with punishments the scroll,
I am the master of my fate :
I am the captain of my soul.
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Originally posted by fivedaysleft on 06 Jul 2011, 11:46.
Last edited by fivedaysleft on 06 Jul 2011, 11:51, edited 1 time in total.
Manager
Joined: 15 Jan 2011
Posts: 101
Re: Does line L intersect with the circle centered at the  [#permalink]

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06 Jul 2011, 11:48
o my God of course!!!!thanks and sorry
Manager
Joined: 29 Jun 2011
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Re: Does line L intersect with the circle centered at the  [#permalink]

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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 [ 13.9 KiB | Viewed 2939 times ]

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

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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
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, 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.

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

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26 Mar 2016, 08:19
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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Joined: 02 Sep 2009
Posts: 52279
Re: Does line L intersect with the circle centered at the  [#permalink]

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26 Mar 2016, 09:18
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
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:

Attachment:

Untitled.png [ 10.65 KiB | Viewed 1491 times ]

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

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17 Apr 2018, 06:19
+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, 06:19
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