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BCNF....
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if a relation with two attribute then it always is in BCNF .

given relation R1(BC) AND R2(AD) BOTH have two attribute hence it is in BCNF.

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Decomposition of Relation R is lossy, as there is no common attribute between R1 and R2. So, We don't decompose them further.

But if we talk about R1(AC) and R2(BD)  independently without considering about R. Then R1 and R2 will be in BCNF( Every relation with 2 attributes will be in BCNF).

@Parshu gate : Can you please provide source of this question and answer.?

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BCNF ...

BCNF (Boyce Codd Normal Form) ::

# A relation R is in BCNF whenever a non – trivial functional dependency X → A holds in R, where X is the super-key of R....

## A binary relation is always in BCNF. A binary relation contains only two attributes....

## Functional dependency that is possible from a binary relation is one....

 

Every relation with two attributes is in BCNF.…

 

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