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555-605 (Medium)|   Geometry|      
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galiya
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Does line L intersect with the circle centered at the 06 Jul 2011, 12:29
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

61% (01:05) correct 39% (00:58) wrong based on 192 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)

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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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Official Answer
E
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fluke
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Does line L intersect with the circle centered at the 06 Jul 2011, 12:43
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Galiya
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
Show more

Attachments

Circle_Line_L.PNG
Circle_Line_L.PNG [ 15.54 KiB | Viewed 5303 times ]

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fivedaysleft
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Does line L intersect with the circle centered at the 06 Jul 2011, 12:44
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aaah! fluke! i was working on the solution! made graphs and everything! you beat me by a minute!
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fluke
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Does line L intersect with the circle centered at the 06 Jul 2011, 12:45
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fivedaysleft
aaah! fluke! i was working on the solution! made graphs and everything! you beat me by a minute!
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Please post that. Two are better than one.:)
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Does line L intersect with the circle centered at the Updated on: 06 Jul 2011, 12:51
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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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 5268 times ]

File comment: statement 1 : radius is 3
a46d56580e4551be8f90e855e499ab96-2.png
a46d56580e4551be8f90e855e499ab96-2.png [ 9.76 KiB | Viewed 5277 times ]

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Does line L intersect with the circle centered at the 06 Jul 2011, 12:48
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o my God of course!!!!thanks and sorry :-D
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Does line L intersect with the circle centered at the 06 Jul 2011, 12:50
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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 5267 times ]

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Does line L intersect with the circle centered at the 08 Jul 2011, 12:55
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Galiya
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
Show more

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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Does line L intersect with the circle centered at the 08 Jul 2011, 18:53
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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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Does line L intersect with the circle centered at the 26 Mar 2016, 09:19
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fluke
Galiya
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
Show more

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

Please advise.
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Does line L intersect with the circle centered at the 26 Mar 2016, 10:18
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smartguy595
fluke
Galiya
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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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:



Show Spoiler
Attachment:
Untitled.png
Untitled.png [ 10.65 KiB | Viewed 3801 times ]
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Does line L intersect with the circle centered at the 17 Apr 2018, 07:19
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+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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