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Discuss the commutativity and associativ...

Discuss the commutativity and associativity of the binary operation . on R defined by `a*b=a-b+a b` for all `a , b in R ,` where on RHS we have usual addition, subtraction and multiplication of real numbers.

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Discuss the commutativity and associativity of the binary operation . ...

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  2. If a*b=a^2+b^2, then the value of (4*5)*3 is

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  3. Let * be a binary operation on set of integers I, defined by a*b=2a+b-...

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  4. Discuss the commutativity and associativity of the binary operation * ...

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

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  6. Consider the set S={1,-1,i ,-i} for fourth roots of unity. Construct t...

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  7. On R-[1] , a binary operation * is defined by a*b=a+b-a b . Prove that...

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  8. Let * be a binary operation on Q0 (set of non-zero rational numbers) ...

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  9. If the binary operation * on the set Z of integers is defined by a*...

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  10. Show that the operation vv and ^^ on R defined as avvb= Maximum of ...

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  11. Let n be a positive integer. Prove that the relation R on the set Z o...

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  12. Define a binary operation ** on the set A={1,\ 2,\ 3,4} as a**b=a b...

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  13. On the set R-{-1} a binary operation * is defined by a*b=a+b+a b for a...

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  14. Q^+ denote the set of all positive rational numbers. If the binary ope...

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  15. Let '*' be a binary operation on Q0 (set of all non-zero rational numb...

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  16. On the power set P of a non-empty set A, we define an operation * by ...

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  17. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

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  18. Is * defined by a*b=(a+b)/2 is binary operation on Z.

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  19. Let '*' be a binary operation on N given by a*b=LdotCdotMdot(a , b) fo...

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  20. On the set M=A(x)={[xxxx]: x in R}of2x2 matrices, find the identity ...

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