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The relation R defined in the set of rea...

The relation R defined in the set of real number R is as follow :
`R {(x,y) : x - y + sqrt2` is an irrational number}
Is R transitive relation ?

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The correct Answer is:
No
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Practice Work
  1. The relation R defined in the set of real number R is as follow : R ...

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  2. Let R be relation defined on the set of natural number N as follows : ...

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  3. A = {(1,2,3,......10} The relation R defined in the set A as R = {(x...

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  4. The relation R difined the set Z as R = {(x,y) : x - yin Z} show that ...

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  5. Show that the relation R defined by (a,b) R (c,d) implies a + d = b +c...

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  6. R is relation in N xxN as (a,b) R (c,d) hArr ad = bc. Show that R is a...

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  7. The relation R defined in the set N of natural number as AAn,minN if o...

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  8. Find the domain and range of the following function : f : R rarr R ...

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  9. Find the domain and range of the following function : f : R rarr R ...

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  10. Find the domain and range of the following function : f: R rarr R ,...

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  11. Find the domain and range of the following function : f : R rarr R...

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  12. Find the domain and range of the following function : f: R rarr R ,...

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  13. f:R rarr R , f(x) = {(12x+5,x gt1),(x-4,xle1):} then find f(0),f(-1/2)...

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  14. Check the injectivity and surjectivity of the following functions . ...

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  15. Check the injectivity and surjectivity of the following functions . ...

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  16. Check the injectivity and surjectivity of the following functions . ...

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  17. Show that the function f : R rarr {x inR:-1lt x lt1} defined by f(x) ...

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  18. f:Z rarrZ , f(n) ={{:((n+2)," if n is even"),((2n+1)," if n is odd" )...

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  19. f:NxxNrarrN , f("(m,n)")=m+n . If f one one and onto ?

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  20. Show that f: R rarr R , f(x) = x/(x^(2)+1) is not one one and onto fun...

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