In the cube $ABCD-A_1B_1C_1D_1$, $E, F$ are the midpoints of $AB, BC$ respectively. Then\\
A. Plane $B_1EF \perp$ plane $BDD_1$\\
B. Plane $B_1EF \perp$ plane $A_1BD$\\
C. Plane $B_1EF \parallel$ plane $A_1AC$\\
D. Plane $B_1EF \parallel$ plane $A_1C_1D$