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Find whether or not R1={(1,\ 1),\ (1,\ 3...

Find whether or not `R_1={(1,\ 1),\ (1,\ 3),\ (3,\ 1),\ (2,\ 2),\ (2,\ 1),\ ` `(3,\ 3)}` , on `A={1,\ 2,\ 3}` is (i) reflexive (ii) symmetric (iii) transitive.

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Find whether or not R_2={(2,\ 2),\ (3,\ 1),\ (1,\ 3)} , on A={1,\ 2,\ 3} is (i) reflexive (ii) symmetric (iii) transitive.

Find whether or not R_3={(1,\ 3),\ (3,\ 3)} , on A={1,\ 2,\ 3} is (i) reflexive (ii) symmetric (iii) transitive.

Let A={1,\ 2,\ 3} and consider the relation R={(1,\ 1),\ (2,\ 2),\ (3,\ 3),\ (1,\ 2),\ (2,\ 3),\ (1,\ 3)} . Then, R is (a) reflexive but not symmetric (b) reflexive but not transitive (c) symmetric and transitive (d) neither symmetric nor transitive

Let A={0,\ 1,\ 2,\ 3} and R be a relation on A defined as R={(0,\ 0),\ (0,\ 1),\ (0,\ 3),\ (1,\ 0),\ (1,\ 1),\ (2,\ 2),\ (3,\ 0),\ (3,\ 3)} , is R reflexive? symmetric? transitive?

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is (a) reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

Show that the relation R on the set A={1,\ 2,\ 3} given by R={(1,\ 1),\ (2,\ 2),\ (3,\ 3),\ (1,\ 2),\ (2,3\ )} is reflexive but neither symmetric nor transitive.

Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation

Test whether, R_1 on Q_0 defined by (a ,\ b) in R_1 a=1//b is (i) reflexive (ii) symmetric and (iii) transitive:

If R is a relation on the set A={1,\ 2,\ 3} given by R={(1,\ 1),\ (2,\ 2),\ (3,\ 3)} , then R is (a) reflexive (b) symmetric (c) transitive (d) all the three options

R_2={(a ,\ a)} is defined on set A={a ,\ b ,\ c} . Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Test whether, R2 on Z defined by (a ,\ b) in R2<=>|a-b|lt=5 is (i) re...

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  2. Test whether, R3 on R defined by (a ,\ b) in R3<=> a^2-4\ a b+3b^2=0 ...

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  3. Find whether or not R1={(1,\ 1),\ (1,\ 3),\ (3,\ 1),\ (2,\ 2),\ (2,\ 1...

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  4. Find whether or not R2={(2,\ 2),\ (3,\ 1),\ (1,\ 3)} , on A={1,\ 2,\ 3...

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  5. Find whether or not R3={(1,\ 3),\ (3,\ 3)} , on A={1,\ 2,\ 3} is (i) r...

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  6. a R b if a-b >0 is defined on the set of real numbers, find whether...

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  7. a R b iff 1+a b >0 is defined on the set of real numbers, find whet...

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  8. a R b if |a|lt=b is defined on the set of real numbers, find whethe...

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  9. Check whether the relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\...

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  10. Check whether the relation R on R defined by R={(a ,\ b): alt=b^3} is ...

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  11. Prove that every identity relation on a set is reflexive, but the c...

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  12. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  13. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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  14. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

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

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  16. Is it true that every relation which is symmetric and transitive is...

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

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  18. Show that the relation "geq" on the set R of all real numbers is refle...

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  19. Give an example of a relation which is reflexive and symmetric but ...

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  20. Give an example of a relation which is reflexive and transitive but...

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