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

Let * be a binary operation on `N` given by `a*b=H C F\ (a ,\ b),\ \ a ,\ b in N` . Write the value of `22*4` .

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`22∗4=` H.C.F of `22` and `4`
`22=2×11`
`4=2×2`
common factor `= 2`
`22∗4=2`
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
  1. Let * be a binary operation defined by a*b=3a+4b-2 . Find 4*5.

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

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

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

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

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  6. If a*b denote the bigger among a and b and if a b=(a**b)+3 , then 4...

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

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  8. For the binary operation * on Z defined by a ast b=a+b+1 the identit...

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

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

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  11. If G is the set of all matrices of the form [xxxx] , where x in R-...

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  12. Q^+ is the set of all positive rational numbers with the binary ope...

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  13. If the binary operation o. is defined on the set Q^+ of all positive r...

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  14. Let * be a binary operation defined on set Q-{1} by the rule a*b=a+b...

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  15. Which of the following is true? * defined by a*b=(a+b)/2 is a binar...

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  16. The binary operation * defined on N by a*b=a+b+a b for all a ,\ b i...

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  17. If a binary operation * is defined by a*b=a^2+b^2+a b+1 , then (2*3...

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  18. Let * be a binary operation on R defined by a*b=a b+1 . Then, * is ...

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  19. Subtraction of integers is

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  20. The law a+b=b+a is called

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