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If three circles having radii \(1, 2,\) and \(3\) respectively lie on a plane, do any two of these circles intersect?

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If three circles having radii \(1, 2,\) and \(3\) respectively lie on a plane, do any two of these circles intersect?

by Vincen » Mon Oct 19, 2020 9:06 am

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If three circles having radii \(1, 2,\) and \(3\) respectively lie on a plane, do any two of these circles intersect?

(1) Centers of the circles form an equilateral triangle with height \(2\sqrt3.\)

(2) Centers of the circles do not lie on the same line.

Answer: A

Source: GMAT Club Tests
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