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On the set Q of all rational numbers an ...

On the set Q of all rational numbers an operation * is defined by `a*b = 1 + ab`. Show that * is a binary operation on Q.

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
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  2. Show that the operation vv and ^^ on R defined as avvb= Maximum of ...

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  3. On the set Q of all rational numbers an operation * is defined by a*b ...

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  4. On the set W of all non-negative integers * is defined by a*b=a^b ....

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  7. Determine whether * on N defined by a*b=a^b for all a ,\ b in N de...

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  8. Determine whether O on Z defined by a\ O\ b=a^b for all a ,\ b in ...

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  9. Determine whether * on N defined by a*b=a+b-2 for all a ,\ b in N ...

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  10. Determine whether 'xx6' on S={1,\ 2,\ 3,\ 4,\ 5} defined by axx6b= Rem...

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  11. Determine whether '+6' on S={0,\ 1,\ 2,\ 3,\ 4,\ 5} defined by a+6b={a...

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  12. 'o' on N defined by a o b= a b + b a for all a, b∈N define...

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  13. '*' on Q defined by a*b=(a-1)/(b+1) for all a ,\ b in Q define a bina...

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  14. Determine whether or not the definition of * On Z^+ , defined * by a...

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  15. Determine whether or not the definition of * On Z^+ , defined * by ...

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  16. Determine whether or not the definition of * On R , define by a*b=a...

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  17. Determine whether or not the definition of * On Z^+ , define * by a...

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  18. Determine whether or not the definition of * On Z^+ , define * by a...

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  19. Determine whether or not the definition of * On R , define * by a*b=...

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

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