Some doubts:

**Why option B is lossless decomposition?**

$R_1 \cap R_3=A$ and $A$ is a superkey in $R_1$. Also $R_2 \cap R_3=D$ and $D$ is a superkey in $R_2$. Also, I guess I have read all decompositions 2NF, 3NF and BCNF are lossless and only BCNF decomposition can be not dependency preserving. Both 2NF and 3NF decompositions are dependency preserving.**Why option A is not in 3NF?**

Is it because it looses dependency $D\rightarrow CE$?