The exclusive NOR and exclusive OR of x and y is given by the expressions
x⊙y = x.y + x'.y' (exclusive NOR or XNOR)
x⊕y = x'.y + x.y' (exclusive OR or XOR)
So (A) is automatically true.
(B) is x⊕y' which evaluates to x'.y' + x.(y')' (as per the formula above for XOR) = x'.y' + x.y which is equivalent to x⊙y.
(C) is x'⊕y which evaluates to (x')'.y + x'.y' (as per the formula above for XOR) = x.y + x'.y' which is equivalent to x⊙y.
(D) is x'⊕y' which evaluates to (x')'.y' + x'.(y')' (as per the formula above for XOR) = x.y' + x'.y which is NOT equivalent to x⊙y.
Hence D is FALSE.