Consider a relation $R(P,C1,C2,x).P$ is the primary key while $(C1,C2)$ is another candidate key.

a$.$ If it is known that the relation is in $3NF$ then is there any $FD$ possible for this relation in which none of $P,C1,C2$ determines some attribute. Explain.

$[1$ Mark$]$

b$.$ If it is known that the relation is in BCNF then is there any FD possible for this relation in which none of $P,C1,C2$ determines some attribute. Explain.

$[1$ Mark$]$