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Discuss the commutativity and associativ...

Discuss the commutativity and associativity of binary operation * defined on `Q` by the rule `a*b=a-b+a b` for all `a , b in Q`

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let A=Q x Q and let * be a binary operation on A defined by (a , b)*(c...

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  2. Let A=NxN , and let * be a binary operation on A defined by (a , b)*(...

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  3. Discuss the commutativity and associativity of binary operation * d...

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  4. Let * be a binary operation on N, the set of natural numbers, defined ...

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  5. Let *, be a binary operation on N, the set of natural numbers defined ...

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  6. On Q, the set of all rational numbers, a binary operation * is defined...

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  7. Let * be a binary operation on set Q-[1] defined by a*b=a+b-a b for al...

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  8. Find dy/dx if 3x-4y=sinx

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  9. Let S={0,1,2,3,4} and * be an operation on S defined by a*b=r , where ...

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  10. Let S=(0,1,2,3,4,) and * be an operation on S defined by a*b=r , where...

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  11. Define a binary operation * on the set A={0,1,2,3,4,5} given by a\**b...

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  12. Let S={a+sqrt(2)b : a , b in Z}dot Then prove that an operation * on ...

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  13. Let A be a set having more than one element. Let '*' be a binary ope...

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  14. Let A=NxNa n d^(prime)*' be a binaryoperation on A defined by (a , b)*...

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  15. Let S be the set of all rational numbers except 1 and * be defined on ...

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  16. Q, the set of all rational number, * is defined by a * b=(a-b)/2 , sho...

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  17. Find the identity element in set Q^+ of all positive rational numbers ...

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  18. If * defined on the set R of real numbers by a*b=(3a b)/7 , find the i...

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  19. Let S be a non-empty set and P(s) be the power set of set S. Find the ...

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  20. If * is defined on the set R of all real numbers by a*b=sqrt(a^2+b^2) ...

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