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If a**b=(ab)/3 on Q^+ then the inverse o...

If `a**b=(ab)/3` on `Q^+` then the inverse of `a(a ne0)` for `**` is ......

A

`3/a`

B

`9/a`

C

`1/a`

D

`2/a`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. If S is defined on R by (x,y) inR hArr xy ge 0 . Then S is ...........

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  2. Which of the following defined on Z is not an equivalence relation ?

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  3. If a**b=(ab)/3 on Q^+ then the inverse of a(a ne0) for ** is ......

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  4. The number of binary operation on {1,2,3,......,n} is ..........

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  5. If a**b = a +b on R - {1} , then a^(-1) is ........

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  6. For a**b = a +b + 10 on Z , the identity element is ........

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  7. f:R-{q} rarrR -{1},f(x) = (x-p)/(x-q), p ne q , then f is .........

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  8. Check the injectivity and surjectivity of the following function . f...

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  9. f:[-(pi)/2,pi/2]rarr[-1,1] is a bijection , if ......

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  10. f : R rarr R , f(x) = x^(2) +2x +3 is .......

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  11. If a**b =a^(2) +b^(2) on Z , then ** is ..........

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  12. If a**b = a +b - ab on Q^(+) , then the identity and the inverse of a...

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  13. If a**b=(ab)/3 on Q^(+) , then 3**(1/5**1/2) is .......

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  14. If Delta is defined on P(X) (X ne phi) by , A deltaB = (A cupB) - (A ...

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  15. S is defined on N xxN by ((a,b) , (c,d) in S hArr a +d = b +c ........

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  16. If f:R^(+) rarr R , f(x) = x/(x+1) is .......

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  17. If f : R rarr R , f(x) = [x] , g : R rarr R , g(x) = sinx , h : R rarr...

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  18. f: R rarr R , f(x) ={{:(-1,xlt0,),(0,x=0 , g:R rarr R ","g(x)=),(1,xgt...

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  19. If f:{x|xge1,"x" inR}rarr{x|xge2,x inR} f(x) = x+1/(x) then f^(-1)(x...

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  20. f:R rarrR , f(x) =x/(sqrt(1+x^2)),AAx inR. Then find (fofof) (x).

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