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

Let * be a binary operation on `N` given by `a`*`b=H F C(a ,\ b)` for all `a ,\ b in N` , then find: `12`*`4,\ 18`*`24 ,\ 7`*`5`

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Let * be a binary operation on `N` given by `a`*`b=H F C(a ,\ b)` for all `a ,\ b in N`
`12`*`4= ` H.C.F of `12` and `4`
`12`*`4= 4`
`18`*`24=` H.C.F of `18` and `24`
`18`*`24=6`
...
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Discuss the commutativity and associativity of binary operation * d...

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

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  3. Let * be a binary operation on N given by a*b=H F C(a ,\ b) for all ...

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

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

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

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

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

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  9. Let * be a binary operation on N defined by a*b=1. cdotmdot(a ,\ b)...

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

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

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

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  13. Let A be any set containing more than one element. Let * be a binar...

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

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  15. Check the commutativity and associativity of * on N defined by a*b=...

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

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  17. Check the commutativity and associativity of O on Q defined by a\ \...

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  18. Check the commutativity and associativity of o on Q defined by a\ o...

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

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

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