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'*' on Q defined by a*b=(a-1)/(b+1) for ...

`'*'` on `Q` defined by `a*b=(a-1)/(b+1)` for all `a ,\ b in Q` define a binary operation on the given set or not:

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Define a binary operation on a set.

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Determine whether '+6' on S={0,\ 1,\ 2,\ 3,\ 4,\ 5} defined by a+6b={a...

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

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

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

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

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

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

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

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

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

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  11. Is* defined on the set {1,"2,"3,"4,"5}" by "" a * b"="LdotCdotMd...

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  12. Let S={a ,\ b ,\ c} . Find the total number of binary operations on...

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  13. Find the total number of binary operations on {a ,\ b} .

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  14. Prove that the operation * on the set M={[a0 0b]: a ,\ b in R-{0}}...

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  15. Let S be the set of all rational numbers of the form m/n , where m ...

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  16. The binary operation**: RxxR->R is defined as a**b=2a+b. Find (2**3)**...

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  17. Let * be a binary operation of N given by a a*b=L C M\ (a , b) for all...

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  18. Let * be a binary operation on Q-{0} defined by a*b=(a b)/2 for all...

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

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

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