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Let A={1,2,3}and Let R={(1,1),(2,2),(...

Let `A={1,2,3}and Let R={(1,1),(2,2),(3,3),(1,3),(3,2),(1,2)}` then R is

A

Reflexive and symmetric but transitive

B

Reflexive and transitive but not symmetric

C

symmetric and transitive but not reflexive

D

An equivalence relation

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The correct Answer is:
B
R is reflexive and transitive but not symmetric .
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RS AGGARWAL-RELATIONS-Objective Questions
  1. Let A={1,2,3}and Let R={(1,1),(2,2),(3,3),(1,3),(3,2),(1,2)} then R...

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  2. Let A={a,b,c} and Let R={(a,a),(a,b),(b,a)}. then ,R is

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  3. Let A={1,2,3} and Let R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}...

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  4. Let L be the set of all lines in a plane and let R be a relation defin...

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  5. Let S denote set of all integers. Define a relation R on S : aRb if ab...

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  6. Let ZZ be the set of all integers and let R be a relation on Z...

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  7. Let R be a relation on the set N of naturalnumbers defined by nRm <=> ...

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  8. Let Z be the set of all integers and let R be a relation on Z def...

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  9. Let S be the set of all real numbers and Let R be a relations on s...

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  10. Let S be set of all real numbers and let R be relation on S, def...

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  11. Let S be the set of all real numbers. Then the relation R= {(a,b):1+...

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  12. Let s be set of all Delta in a plane and let R be a relation o...

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  13. Let S be set of all numbers and let R be a relation on S defined...

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  14. Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)...

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  15. Let A be the set of all points in a plane and let O be the or...

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  16. Let Q be the set of all rational numbers and * be the binary oper...

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  17. Let a*b=a+ab for all a,b in Q. then

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  18. Let Q^(+)be the set of all positive rationals then the operation...

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  19. Let Z be the set of all integers and let a*b =a-b+ab . Then * is

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  20. Let Z be the set of all integers, then , the operation * on Z define...

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