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Let N denote the set of all natural numb...

Let N denote the set of all natural numbers and R be the relation on `NxxN` defined by (a,b)R (c,d) if ad(b+c)=bc(a+d) then R is

A

symmetric only

B

reflexive only

C

transitive only

D

an equivalence relation

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-RELATIONS-Exercise
  1. The relation II is

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  2. For , n m in N,n I m means that n is a factor of m the relation is

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  3. Let x,y in Z and suppose that a relation R on Z is defined by x R y ...

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  4. The relation " son of " is

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  5. In the set of all triangles "similarity is

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  6. A and B are two sets having 3 and 4 elements respectively and having 2...

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  7. If the relation R:A rarr B where A={1,2,3,4} and B={1,3,5} is defined...

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  8. Let R={(x,y):x,y in A,x+y=5} where A= { 1,2,3,4,5} then

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  9. Let R be relation on a set A such that R=R^(-1) then R is

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  10. For x,y in R define a relation R by x R y if and only if x-y +sqrt(2) ...

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  11. If R and S are two symmetric relation then

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  12. f is a relation on the set R of real numbers defined (a,b) in f rarr 1...

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  13. Let W denote the words in the english dicitionary define the relatio...

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  14. If A={1,2,3} the number of reflexive relations in A is

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  15. If A={1,2,3} the number of symmetric realtions in A is

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  16. Let R={ (1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A={1,2...

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  17. The set S={1,2,3….12} is to be partitioned into three sets A,BC of equ...

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  18. Let R be the relation on the set R of all real numbers defined by a R ...

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  19. The relation "less than " in the set of natural numbers is

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  20. Let N denote the set of all natural numbers and R be the relation on N...

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