DBMS Normalisation

Question

Consider a schema R(A, B, C, D) and functional dependencies {AB → C, C → D, D→ A}. Then the decomposition of R into

R1 (CD), R2 (AC) and R3 (BC) is in
a. 1NF but not 2NF
b. 2NF but not 3NF
c. 3NF but not BCNF
d. BCNF

Answer 1

Every relation with 2 attributes is in BCNF.

Thus, option D

Comments

is every binary relation also in further higher normal forms like in  4nf  ,5nf

Answer 2

After decomposition , Each relation has two attributes.
So it is in BCNF, but Dependency is not preserved.