Multiple choice

A binary operation $\oplus$on a set of integers is defined as x $\oplus$y = x2 + y2. Which of the following is TRUE about $\oplus$?

  1. Commutative, but not associative

  2. Both commutative and associative

  3. Associative, but not commutative

  4. Neither commutative nor associative

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

x $\oplus$y = x2 + y2 = y2 + x2 = y $\oplus$ x $\therefore$ commutative Not associative because: (1$\oplus$2) $\oplus$ 3 $\ne$1 $\oplus$ (2$\oplus$3)