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Let R be a relation defined by R = {(a, ...

Let R be a relation defined by R = {(a, b) : `a ge b`}, where a and b are real numbers, then R is

A

Reflexive, symmetric and transitive.

B

Reflexive, transitive but not symmetric.

C

Symmetric, transitive but not reflexive.

D

Neither transitive nor reflexive but symmetric.

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The correct Answer is:
B
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ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (2) (RELATIONS)
  1. A relation R is defined on the set Z of integers as: (x ,y) in R x^2...

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  2. Let R be a relation on I (the ste of integers) defined as m R n (m,nin...

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  3. Let R be a relation defined by R = {(a, b) : a ge b}, where a and b a...

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  4. The relation R defined in N as aRbimpliesb is divisible by a is

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  5. An integer m is said to be related to another integer n if m is a m...

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  6. If alpha,beta be straight lines in a plane, then check R(1)andR(2) for...

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  7. Let n be a fixed positive integer. Define a relation R on I (the set o...

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  8. Consider the non-empty set consisting of children in a family. State g...

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  9. Consider the non-empty set consisting of children in a family. State g...

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  10. Let S be the set of all points in a plane. Let R be a relation on S s...

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  11. N is the set of natural numbers. The relation R is defined on NxxN as ...

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  12. N is the set of positive intergers and ~ be a relation on NxxN defined...

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  13. The following relation is defined on the set of real numbers. A R b if...

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  14. If R be a relation a R b if 1+abgt0. What about equivalence relation ?

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  15. A relation R on the set of complex numbers is defined by z1 R z2 if ...

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  16. Let R be a relation defined on the set of natural numbers N as R={(...

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  17. On the set of all points in a plane, the relation defined by the phras...

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  18. A function R on the set N of natural numbers is defined as R={[2n,2n+1...

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  19. A relation f on the set N of natural numbers is defined by f={(n,n+3):...

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  20. Consider the following relations: R = {(x, y) | x, y are real numbers ...

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