Consider the schema R (A,B, C, D) and the functional dependencies $$A \rightarrow B$$ and $$C \rightarrow D$$. If the decomposition is made as $$R_1 (A, B)$$ and $$R_1 (C, D)$$, then which of the following is TRUE?

A

Preserves dependency but cannot perform lossless join

B

Preserves dependency and performs lossless join

C

Does not preserve dependency and cannot perform lossless join

D

Does not preserve dependency but performs lossless join