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A circle C of radius 2 lies in the second quadrant and touches both the coordinate axes. Let r be the radius of a circle that has centre at the point (2, 5) and intersects the circle C at exactly two points. If the set of all possible values of r is the interval ( α , β ), then 3 β – 2 α is equal to :

1. 15
2. 14
3. 12
4. 10

Correct answer: 15

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