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Let A= Q xxQ. Let * be a binary operatio...

Let A= `Q xxQ`. Let * be a binary operation Defined by: (a,b)*(c,d)= (ac,ad +b). Then
(i) find the identity element of (A,*)

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PATHFINDER-RELATIONS , FUNCTIONS AND BINARY OPERATIONS-QUESTION BANK
  1. Let f:RrarrR be a function defined by f(x)=cos(2x+3). Show that this f...

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  2. Let f(x)=(ax)/(x-1),x ne-1.If 10f(x)=x, find the value of a.

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  3. Let f be function defined on [0,1] defined by:f(x)={(x, if, x ,in, q),...

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  4. Find the domain and range of the following function :sqrt((x-1)(3-x))

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  5. If f(x)=sqrt(8x),g(x)=x+2, then

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  6. Let A=[-1,1] and f:ArarrA be a function defined by f(x) =xabsx. Show ...

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  7. Show that the function f:NrarrN defined by f(x)=x^2+x+1inNis not inve...

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  8. Let y={n^2:ninN}subeN. consider f: NrarrY as f(n)=n2. Show that is inv...

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  9. Let f :R R-{3/5}rarrR-{2/5} be a function defined as f (x)= (2x)/(5x+3...

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  10. Let A= {a+sqrt5b:a,binZ}. Show that usual multiplication of numbers is...

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  11. Let be binary operation on the set R defined by a*b = a+b+ab, a, binR....

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  12. Number of binary opertions on the set {a,b} are

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  13. Let * be a binary operation on N defined by a*b=2^(5ab),a b inN.Discus...

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  14. Let A=N x N and *be a binary operation on A defined by (a,b)*(c,d) =(a...

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  15. Let * be a binary operation on Zdefined by a*b=a+b- 15 for a,binZ.Show...

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  16. Let * be a binary operation on Zdefined by a*b=a+b- 15 for a,binZ. Sho...

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  17. Let * be a binary operation on Zdefined by a*b=a+b- 15 for a,binZ . Fi...

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  18. Let * be a binary operation on Zdefined by a*b=a+b- 15 for a,binZ Find...

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  19. Let A= Q xxQ. Let * be a binary operation Defined by: (a,b)*(c,d)= (ac...

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  20. Let A= Q xxQ. Let * be a binary operation Adifined by: (a,b)*(c,d)= (a...

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