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Let S be the set of all real numbers exc...

Let S be the set of all real numbers except 1 and 'o' be an operation on S defined by : aob = a+b - ab for all a,b `in`S. Prove that the given operation is : (I) commutative (II) associative.

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  2. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  3. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  4. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  5. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  6. Consider the operations '*' and o+ on the set R of all real numbers de...

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  7. Consider the operations '*' and o+ on the set R of all real numbers de...

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  8. Consider the operations '*' and o+ on the set R of all real numbers de...

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  9. Let A = Q xx Q,Q being the set of rationals. Let '*' be a binary opera...

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  10. Let A = Q xx Q,Q being the set of rationals. Let '*' be a binary opera...

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  11. Let A = N xx N being the set of natural numbers. Let '*' be a binary ...

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  12. Let A = N xx N being the set of natural numbers. Let '*' be a binary ...

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  13. Let A = N xx N being the set of natural numbers. Let '*' be a binary ...

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  14. Let A = R xx R and * be a binary operation on A defined by : (a,b) * ...

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  15. Let A= Q xx Q. Let'*' be a binary operation on A defined by: (a, b) * ...

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  16. Let A= Q xx Q. Let'*' be a binary operation on A defined by: (a, b) * ...

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  17. If the operation * defined by a* b =a^2 + b^2 or all real numbers a an...

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  18. Let * : Q xx Q rarr Q be defined a as a * b = 1 + ab for all a, b in Q...

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  19. Let '*' be a binary operation on Q defined by a * b = (3ab)/5. Show th...

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  20. Define a binary operation * on the set {0,1,2,3,4,5} as a*b = {:{(a+...

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