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A binary operation * is defined on the...

A binary operation * is defined on the set `R` of all real numbers by the rule a*b= `sqrt(a^2+b^2)` for all `a ,\ b in R` . Write the identity element for * on `Rdot`

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RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. For the binary operation multiplication modulo 5\ (xx5) defined on ...

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  2. Write the composition table for the binary operation xx5 (multiplic...

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  3. A binary operation * is defined on the set R of all real numbers by ...

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  4. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

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  5. Let * be a binary operation defined by a*b=3a+4b-2 . Find 4*5.

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  6. If the binary operation * on the set Z of integers is defined by a...

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  7. Let * be a binary operation on N given by a*b=H C F\ (a ,\ b),\ \ a ...

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

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  9. If a*b=a^2+b^2, then the value of (4*5)*3 is (i)(4^2+5^2)+3^2 (ii) (4...

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  10. If a*b denote the bigger among a and b and if a b=(a*b)+3 , then 4*...

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  11. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

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  12. For the binary operation * on Z defined by a*b= a+b+1 the identity e...

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  13. If a binary operation * is defined on the set Z of integers as a*b=3...

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  14. Q^+ denote the set of all positive rational numbers. If the binary ope...

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  15. If G is the set of all matrices of the form [xxxx] , where x in R-...

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  16. Q^+ is the set of all positive rational numbers with the binary oper...

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

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

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

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

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