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MODERN PUBLICATION-RELATION AND FUNCTIONS-EXERCISE
- List the members of the equivalence relation defined by {{1},{2},{3,4...
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- Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...
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- Find least non negative integer r such that 1237"(mod 4)"+985"(mod 4)"...
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- For real numbers x and y, define x R y if and only if x-y +sqrt(2) is ...
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- Let A = {a,b,c) and the relation R be defined on A as follows: R={{a...
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- Let X and Y be sets containing m and n elements respectively.How many ...
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- Show that the relation R in the set of real numbers, defined as R = {(...
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- "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...
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- Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...
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- Let * is a binary operation on the set of all non-zero real numbers, g...
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- Test whether the relations are reflexive, symmetric or transitive on t...
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- Suppose a box contains a set of n balls (n gt 4)(denoted by B )of four...
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- If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...
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- Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B))...
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- Prove that f:X rarr Y is surjective iff for all A sube X,(f(A))' sube ...
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- Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...
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- Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...
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- Consider f:R(+) [4, oo] is given by f(x)= x^(2) + 4. Show that f is in...
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- Test whether the relations are reflexive, symmetric or transitive on t...
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- Find the number of equivalence, relations on X ={1,2,3),
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