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GATE | GATE CS 2013 | Question 1

A binary operation [tex]\\oplus[/tex] on a set of integers is defined as x [tex]\\oplus[/tex] y = x2 + y2. Which one of the following statements is TRUE about [tex]\\oplus[/tex]?

(A)

Commutative but not associative

(B)

Both commutative and associative

(C)

Associative but not commutative

(D)

Neither commutative nor associative

Answer

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