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1. Let D1 and D2 be two open disks in R^2 whose closures D1 and D2...

1. Let D1 and D2 be two open disks in R^2 whose closures D1 and D2 intersect in exactly one point, so the boundary circles of the two disks are tangent. Determine which of the following subspaces of R 2 are connected: (a) D1 ∪ D2 . (b) D1 ∪ D2 . (c) D1 ∪ D2 .

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