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(A) Commutative but not associative
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'''(A) Commutative but not associative'''
  
 
(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]]
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[[Category: Set Theory & Algebra questions from GATE]]

Latest revision as of 00:43, 7 May 2015

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




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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