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Let A={1,2,3}, and let R1="{"(1,1),(1,3)...

Let `A={1,2,3},` and let `R_1="{"(1,1),(1,3),(3,1),(2,2")",(2,1),(3,3)}R_2={(2,2),3,1),(1,3)},R_3={(1,3),(3,3)}dot` Find whether or not each of the relations `R_1,R_2,` on `A` is (i) reflexive (ii) symmetric (iii) transitive.

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RD SHARMA ENGLISH-RELATIONS-All Questions
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  2. Let O be the origin. We define a relation between two points P and ...

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  3. Let A={1,2,3}, and let R1="{"(1,1),(1,3),(3,1),(2,2")",(2,1),(3,3)}R2=...

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

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

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  6. Let A={1,2,3} and R={(1,2),(1,1),(2,3)} be a relation on A . What ...

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  7. Show that the relation R defined by R={(a , b):a-b is divisible ...

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  8. Test whether the following relations R1,R2"and"R3,"" are (i) reflex...

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  12. Let Z be the set of all integers and Z0 be the set of all non zero...

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

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  14. If R is an equivalence relation on a set A, then R^-1 is

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  15. On the set N of all natural numbers, a relation R is defined as follow...

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  16. If R1 and R2 are equivalence relations in a set A, show that R1nnR2...

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  17. Let Z be the set of all integers and Z0 be the set of all non-zero...

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  18. Let R be the equivalence relation in the set A={0,1,2,3,4,5} given b...

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

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  20. Show that the relation geq on the set R of all real numbers is r...

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