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Show that addition and multiplication ar...

Show that addition and multiplication are associative binary operation on R. But subtraction and division is not associative on R.

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Show that addition and multiplication are associative binary operation on R. But subtraction is not associative on R . Division is not associative on R^(**)

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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Practice Work
  1. ** is a binary operation o Z. If x"*" y = x^(2)+y^(2)+xy then find [(...

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  2. ** be a binary operation on R defined by a"*"b = (a)/(4)+b/(7) , a,b...

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  3. Show that addition and multiplication are associative binary operation...

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  4. Find the identity element , if it exists for the following operation ....

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  5. Find the identity element , if it exists for the following operation ....

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  6. Find the identity element , if it exists for the following operation ....

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  7. Find the identity element , if it exists for the following operation ....

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  8. Find the identity element , if it exists for the following operation ....

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  9. Find the identity element , if it exists for the following operation ....

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  10. Find the identity element , if it exists for the following operation ....

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  11. On R - {-1}, a binary operation ** defined by a"*"b = a + b +ab then f...

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  12. ** be a binary operation on a set {0,1,2,3,4} defined by a**b={(a+b,...

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  13. On Z ** defined by a**b = a+b+1 . Is ** associative ? Find identity el...

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  14. ** be binary operation defined on a set R by a**b=a+b-(ab)^2. Show tha...

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  15. A binary operation ** be defined on the set R by a**b = a+b +ab. Show ...

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  16. Show that if f: A rarr B and g: B rarr C are onto, then gof: A rarr ...

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  17. Show that if f: A rarr B and g: B rarr C are one- one, then gof: A ra...

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  18. f : R rarr R , f(x) = cos x and g : R rarr R , g(x) = 3x^(2) then fin...

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

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

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