GATE2013 q1 Revision as of 03:20, 8 December 2013 by Arjun Suresh (talk | contribs) (Created page with "A binary operation $\oplus$ on a set of integers is defined as $x \oplus y = x^{2}+y^{2}$. Which one of the following statements is '''TRUE''' about $\oplus$? (A) Commutativ...") (diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A binary operation $\oplus$ on a set of integers is defined as $x \oplus y = x^{2}+y^{2}$. Which one of the following statements is TRUE about $\oplus$?

(A) Commutative but not associative

(B) Both commutative and associative

(C) Associative but not commutative

(D) Neither commutative nor associative