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Let O be the origin. We define a rela...

Let `O` be the origin. We define a relation between two points `P` and `Q` in a plane if `O P=O Qdot` Show that the relation, so defined is an equivalence relation.

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RD SHARMA ENGLISH-RELATIONS-All Questions
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  2. Given the relation R={(1,2),(2,3)} on the set A={1,2,3}, add a minim...

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  3. Let O be the origin. We define a relation between two points P and ...

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

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

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

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

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

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  10. Three relations R1, R2a n dR3 are defined on set A={a , b , c} as foll...

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  11. Show that the relation R on the set A{xZ ;0lt=12}, given by R={(a ,...

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  12. Let n be a fixed positive integer. Define a relation R on Z as f...

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

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

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

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

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

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

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

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

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