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If the binary operation o. is defined on...

If the binary operation `o.` is defined on the set `Q^+` of all positive rational numbers by `ao.b=(a b)/4dot` Then, `3o.(1/5o.1/2)` is equal to

A

`3/160`

B

`5/160`

C

`3/10`

D

`3/40`

Text Solution

Verified by Experts

The correct Answer is:
A
`(1/5 o. 1/2)=frac{1/5 xx 1/2}{4}`
`=>1/40`
`3 o. 1/40=frac{3xx 1/40}{4}`
`=>3/160`
`3o.(1/5o.1/2)=3/160`
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
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  2. Q^+ is the set of all positive rational numbers with the binary ope...

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

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

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

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

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

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  9. Subtraction of integers is

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

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

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

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  13. A binary operation ast on Z defined by a ast b=3a+b for all a ,\ b i...

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  14. Letastbe a binary operation on N defined by a ast b=a+b+10 for all a...

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  15. Consider the binary operation ast defined on Q-{1} by the rule a ast...

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  16. For the binary operation ast defined on R-{-1} by the rule a ast b=a...

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

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

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  19. Let ast be a binary operation defined on Q^+ by the rule a ast b=(a...

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