GATE Papers >> CSE >> 2013 >> Question No 1

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