Option A, B and C all are correct
Given : A $\bigoplus$ B = C
Option A
A $\bigoplus$ A $\bigoplus$ B = A $\bigoplus$ C
Hence A $\bigoplus$ C = B
Option B
A $\bigoplus$ B $\bigoplus$ B = B $\bigoplus$ C
Hence B $\bigoplus$ C = A
Option C
A $\bigoplus$ B = C
A $\bigoplus$ B $\bigoplus$ C = C $\bigoplus$ C = 0