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# m14 q2

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Manager
Joined: 08 Jul 2009
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Kudos [?]: 79 [0], given: 13

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31 Aug 2009, 14:49
If three circles having radii 1, 2, and 3 respectively lie on a plane, do any two of these circles intersect?

Centers of the circles form an equilateral triangle with height 2$$sqrt{3}$$
Centers of the circles do not lie on the same line.

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Manager
Joined: 10 Jul 2009
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Kudos [?]: 82 [0], given: 8

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31 Aug 2009, 16:12
From statement 1, we can conclude circles with radius 2 and 3 intersect. So 1 alone is sufficient

Statement 2 alone is not sufficient as though the centres of the circles do not lie on single line, they can or cannot intersect.

Re: m14 q2   [#permalink] 31 Aug 2009, 16:12
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# m14 q2

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