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Let * is a binary operation on Z defined...

Let `*` is a binary operation on `Z` defined as `a * b = a + b - 5` find the identity element for `*` on `z`.

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MODERN PUBLICATION-RELATION AND FUNCTIONS-EXERCISE
  1. Let * is a binary operation defined by a * b = 3a + 4b - 2, find 4*5.

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  2. Let the binary operation on Q defined as a * b = 2a + b - ab, find 3*4...

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  3. Let * is a binary operation on Z defined as a * b = a + b - 5 find the...

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  4. Find the number of binary operations on the set {a, b}.

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  5. Let * is a binary operation on [0, ¥) defined as a * b = sqrt (a^(2)+b...

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  6. List the members of the equivalence relation defined by {{1},{2},{3,4...

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  7. Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...

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  8. Find least non negative integer r such that 1237"(mod 4)"+985"(mod 4)"...

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  9. For real numbers x and y, define x R y if and only if x-y +sqrt(2) is ...

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  10. Let A = {a,b,c) and the relation R be defined on A as follows: R={{a...

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  11. Let X and Y be sets containing m and n elements respectively.How many ...

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  12. Show that the relation R in the set of real numbers, defined as R = {(...

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  13. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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  14. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  15. Let * is a binary operation on the set of all non-zero real numbers, g...

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  16. Test whether the relations are reflexive, symmetric or transitive on t...

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  17. Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...

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  18. If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...

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  19. Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B))...

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  20. Prove that f:X rarr Y is surjective iff for all A sube X,(f(A))' sube ...

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