Given that $A \oplus B = C$
$(A)A \oplus C \\ \equiv A \oplus(A \oplus B)\\ \equiv(A \oplus A) \oplus B\\ \equiv 0 \oplus B\\ \equiv B$
Option (A) is true.
$(B)B \oplus C \\ \equiv B \oplus(A \oplus B) \\ \equiv B \oplus ( B \oplus A)\\ \equiv (B \oplus B )\oplus A\\ \equiv 0 \oplus A\\ \equiv A$
Option(B)is true.
$(C)A \oplus B \oplus C \\ \equiv A \oplus B \oplus(A \oplus B) \\ \equiv A \oplus B \oplus ( B \oplus A)\\ \equiv A \oplus(B \oplus B )\oplus A\\ \equiv A \oplus 0 \oplus A\\ \equiv A \oplus A\\ \equiv 0$
Option(C)is false.
(D)from (C) option(D) is true.
Hence,Option(A),(B) and (D)are true.