Given the following relations on the set of all integers where $(x,y) \in R$ if and only if the following is satisfied. (Check ALL correct answers from the following lists ):

(a) $x+y = 0$

A. symmetric
B. reflexive
C. antisymmetric
D. transitive
E. irreflexive

(b) $x - y$ is an integer

A. symmetric
B. irreflexive
C. reflexive
D. transitive
E. antisymmetric

(c) $x=2y$

A. transitive
B. symmetric
C. reflexive
D. antisymmetric
E. irreflexive

(d) $xy > 1$

A. symmetric
B. irreflexive
C. antisymmetric
D. reflexive
E. transitive