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Consider the binary operation * define...

Consider the binary operation * defined on `Q-{1}` by the rule a*b= `a+b-a b` for all `a ,\ b in Q-{1}` . The identity element in `Q-{1}` is (a) 0 (b) 1 (c) `1/2` (d) -1

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Q^+ is the set of all positive rational numbers with the binary oper...

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

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

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

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

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

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

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  8. Subtraction of integers is (a)commutative but not associative (b)c...

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

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  10. An operation * is defined on the set Z of non-zero integers by a*b...

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  11. On Z an operation * is defined by a*b=a^2+b^2 for all a ,\ b in Z ....

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  12. A binary operation * on Z defined by a*b= 3a+b for all a ,\ b in Z ...

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  13. Let * be a binary operation on N defined by a*b=a+b+10 for all a ,\ ...

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

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  15. For the binary operation * defined on R-{1} by the rule a*b=a+b+a b ...

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  16. For the multiplication of matrices as a binary operation on the set...

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  17. On the set Q^+ of all positive rational numbers a binary operation *...

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  18. Let * be a binary operation defined on Q^+ by the rule a*b=(a b)/3 f...

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  19. The number of binary operations that can be defined on a set of 2 e...

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  20. The number of commutative binary operations that can be defined on a...

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