Bunuel wrote:

Three circles with radii of 1, 2, and 3, lie on the same plane. Do any of these circles intersect or lie within another?

(1) If you connect the centers of the circles, an equilateral triangle with the height of 2√3 will be formed.

(2) The distance between the centers of any two circles is less than 6.

Kudos for a correct solution.

IMO: A

Statement 1: If you connect the centers of the circles, an equilateral triangle with the height of 2√3 will be formedHeight of an equilateral triangle with side "a' = √3/2*a

2√3 = √3/2 *a

a= 4

If distance between any two centers is 4

For Circles with radius 1 and 2 --> do not intersect

For Circles with radius 1 and 3 --> Touch each other externally

For Circles with radius 2 and 3 --> intersect

Hence suffStatement 2 : The distance between the centers of any two circles is less than 6.Maximum distance between any two circles touching externally will be when circle with radius 2 and circle with radius 3 = 5

Thus If distance between them is

below 5 --> intersect

Equal to 5 --> touch externally

>5 --> do not intersect

Given condition distance < 6.

So we get different answers for d=5.5 or 5 or 4

Hence not suff
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