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For real numbers x and y define x\ R\ y ...

For real numbers `x` and `y` define `x\ R\ y` if `x - y + sqrt(2)` is an irrational number. Then the relation `R` is

A

reflexive

B

symmetric

C

transitive

D

none of these.

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SURA PUBLICATION-SETS RELATIONS AND FUNCTIONS-ADDITIONAL PROBLEMS (SECTION - A)
  1. Let f : R to R be defined as f(x) = x^(4). Choose the correct answer.

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  2. Let f : R to R to given by f(x) = (3 -x^(3))^((1)/(3)). Then of (x) is

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  3. Let A = {-2,-1,0,1,2} and f:A to Z be given by f(x) = x^(2)-2x-3 then ...

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  4. Which one of the following is a finite set ?

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  5. If sube B, then A\B is

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  6. Given A = {5,6,7,8}. Which one of the following is incorrect?

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  7. The shaded region in the adjoining diagram represents.

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  8. The shaded region in the adjoining diagram represents.

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  9. Let R be a relation on the set NN given by RR= {(a,b) : a=b-2,b gt6}. ...

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  10. If A = {1,2,3} , B = {1,4,6,9} and R is a relation from A to B defined...

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  11. For real numbers x and y define x\ R\ y if x - y + sqrt(2) is an irrat...

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  12. Let R be the relation over the set of all straight lines in a plane su...

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  13. Which of the following is not an equivalence relation on z?

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  14. Which of the following functions from z to itself are bijections (one-...

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  15. Let f : Z to Z be given by f(x) = {((x)/(2) if"is even"),(0 if" is od...

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  16. If f : RtoR is given by f(x) = 3x-5, then f^(-1)(x) is

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  17. If f (x) = 2x-3 and g(x)= x^(2) +x-2 then go f(x) is

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  18. Let f : RR to RR be given by f(x) = x+ sqrt(x^(2)) is

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  19. Choose the correct statement .

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  20. Match List - I with List II {:("List I","ListII"),("i"." " {(1,1)...

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