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Let be the binary operation on N defined...

Let be the binary operation on N defined by a*b = H.C.F. of a and b: Is '*' commutative? Is * associative ? Does there exist identity for this binary operation on N ?

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Let ∗ be the binary operation on N given by * a * b = L.C.M. of a and ...

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  2. Is '*' defined on the set {1,2,3,4,5} by a*b = L.C.M. of a and b a bin...

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  3. Let be the binary operation on N defined by a*b = H.C.F. of a and b: I...

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  4. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  5. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  6. Let * be a binary operation on the set Q of rational numbers as follow...

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  7. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  8. Let * be a binary operation on the set Q of rational numbers as follow...

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  9. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  10. Show that the number of binary operations on {1, 2} having 1 as identi...

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  11. let A = N xxN and * be the binary operation on A defined by : (a,b) * ...

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  12. State whether the following statement is true or false. Justify:For an...

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  13. State whether the following statements are true or false. Justify. If ...

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  14. State whether the following statements are true or false. Justify . Fo...

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  15. Consider a binary operation * on N defined as a* b = a^3 + b^3. Then

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  16. Let f : RrarrR , be defined as f(x) = 10x + 7. Find the function g : ...

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  17. Let f : W to W be defined as f(n) =n-1, if n is odd and f(n) = n+1, i...

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  18. If f : R rarr R is defined by f(x) = x^2 - 3x + 2, find f(f(x)).

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  19. Show that the function f : Rrarr {x in R : – 1 < x < 1} defined by f(x...

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  20. Show that the function f : R rarr R given by f (x) = x^3 is injective...

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