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Examine whether the binary operation *...

Examine whether the binary operation `**` defined on `R` by `a**b=a b+1` is commutative or not.

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Determine whether the binary operation ** on R defined by a ** b = |a -b| is commutative. Also, find the value of (-3) ** 2.

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Let A be a set having more than one element. Let * be a binary operation on A defined by a*b=a for all a ,\ b in Adot Is * commutative or associative on A ?

The binary operation * defined on N by a*b= a+b+a b for all a ,\ b in N is (a) commutative only (b) associative only (c) commutative and associative both (d) none of these

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Let A be a set having more than one element. Let * be a binary opera...

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  2. If the operation * is defined on the set Q - {0} of all rational num...

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  3. Examine whether the binary operation ** defined on R by a**b=a b+1 i...

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  4. Let A be a set having more than one element. Let * be a binary opera...

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  5. Discuss the commutativity of the binary operation * on R defined by ...

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  6. Discuss the commutativity of the binary operation * on R defined by ...

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

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

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  9. Let * be a binary operation on N given by a*b=2a+3b for all a ,\ b i...

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  10. Let ** be the binary operation on N defined by a" "**" "b" "=" "Hd...

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  11. Consider the binary operations*: RxxR->R and o: RxxR->R defined as a...

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  12. Let A be a non-empty set and S be the set of all functions from A t...

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

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  14. Let A be a set having more than one element. Let * be a binary oper...

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  15. Let * be a binary operation on N defined by a*b=LCM(a ,\ b) for all ...

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  16. Let '*' be a binary operation on N given by a*b=LdotCdotM(a , b) for a...

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  17. Determine whether * on N defined by a * b=1 for all a ,\ b in N is ...

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  18. Determine whether * on Q defined by a*b=(a+b)/2 for all a ,\ b in Q i...

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  19. Let A be any set containing more than one element. Let * be a binary...

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  20. Check the commutativity of * on Z defined by a*b=a+b+a b for all a ,\ ...

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