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Let '*' be a binary operation on N given...

Let `'*'` be a binary operation on N given by `a*b=LdotCdotM(a , b)` for all `a , b in Ndot` Find `5*7,20*16`

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Let '*' be a binary operation on N given by a*b=LdotCdotMdot(a , b) for all a , b in Ndot Find 5*7,20*16 (ii) Is * commutative? Is * associative? Find the identity element in N Which element of N are invertible? Find them.

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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 oper...

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

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

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

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

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

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

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  8. Check the commutativity of * on N defined by a*b=2^(a b) for all a ,\ ...

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  9. Check the commutativity of * on Q defined by a*b=a-b for all a ,\ b in...

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  10. Check the commutativity of O on Q defined by a\ \ b=a^2+b^2 for all a ...

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  11. Check the commutativity and associativity of * on Q defined by a * ...

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  12. Check the commutativity of * on Q defined by a*b=a b^2 for all a ,\ b ...

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

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  14. Check the commutativity and associativity of * on R defined by a*b=...

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  15. Check the commutativity of * on Q defined by a*b=(a-b)^2 for all a ,\ ...

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  16. Check the commutativity and associativity of * on Q defined by a*b=...

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

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  18. Check the commutativity and associativity of * on Z defined by a*b=a...

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  19. Check the commutativity and associativity of * on Q defined bya*b= (...

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  20. Check the commutativity and associativity of * on Z defined bya*b= a...

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