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(B) Both commutative and associative | (B) Both commutative and associative | ||
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(D) Neither commutative nor associative | (D) Neither commutative nor associative | ||
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| + | [[Category: GATE2013]] | ||
| + | [[Category: Set Theory & Algebra questions from GATE]] | ||
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
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
GATECSE