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Let S be the set of all rational num...

Let `S` be the set of all rational number except 1 and * be defined on `S` by `a*b=a+b-a b ,` for all `a ,bSdot` Prove that (i) * is a binary operation on `( i i ) * is commutative as well as associative.

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Check the commutativity and associativity of * on Z defined bya*b= a...

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  2. Check the commutativity and associativity of * on N defined by a*b=g...

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  3. Let S be the set of all rational number except 1 and * be defined ...

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  4. Show that the binary operation * on Z defined by a*b=3a+7b is not co...

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  5. On the set Z of integers a binary operation * is defined by a*b=a b+...

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  6. Q, the set of all rational number, * is defined by a*b=(a-b)/2 , show ...

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  7. On Z , the set of all integers, a binary operation * is defined by a...

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  8. On the set Q of all rational numbers if a binary operation * is defi...

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  9. The binary operation * is defined by a*b=(a b)/7 on the set Q of all...

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  10. On Q , the set of all rational numbers a binary operation * is defin...

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  11. Let S be the set of all rational number except 1 and * be defined ...

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  12. Let S be the set of all rational number except 1 and * be defined ...

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  13. If * defined on the set R of real numbers by a*b= (3a b)/7 , find the ...

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  14. Find the identity element in set Q^+ of all positive rational numbers ...

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  15. If * is defined on the set R of all real numbers by a*b=sqrt(a^2+b^2) ...

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  16. Let S be a non-empty set and P(s) be the power set of set S. Find the ...

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  17. Let S be a non- empty set and P (s) be the power set of set S .Find th...

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  18. Find the identity element in the set I^+ of all positive integers ...

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  19. Find the identity element in the set of all rational numbers except ...

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  20. If the binary operation * on the set Z is defined by a*b=a+b-5, then ...

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