Any relation with two attributes is in $\text{BCNF} \Rightarrow $ This is true. It is trivial
A relation in which every key has only one attribute is in $\text{2NF}\Rightarrow$ This is true. As it is not possible to have Partial Functional Dependency !
A prime attribute can be transitively dependent on a key in a $\text{3NF}$ relation $\Rightarrow$ This is true. As For $\text{3NF}$ to be violated we need something like Key $\Rightarrow$ Non Key, Non Key $\Rightarrow$ Non key. $\text{3NF}$ definition says that for functional dependency $x\rightarrow y,$ either $x$ should be key or $y$ should be prime attribute. Then we can have something like Key $\Rightarrow$ Non Key, Non key $\Rightarrow$ Prime Attribute, resulting in Transitive $\text{FD}$ on Prime Attribute, still in $\text{3NF}$.
$\text{LHS}$ must be always key, so No Transitive dependency is allowed.
Answer is D.