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m14 q2 [#permalink]

31 Aug 2009, 15:49

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 2sqrt{3}
Centers of the circles do not lie on the same line.

[Reveal] Spoiler:

OA A

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Re: m14 q2 [#permalink]

31 Aug 2009, 17:12

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.

So answer is A.

Re: m14 q2 [#permalink] 31 Aug 2009, 17:12

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