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Let A={1,2,3,4,5,6}dot Define a relation...

Let `A={1,2,3,4,5,6}dot` Define a relation `R` on set A by `R={(x , y): y=x+1}` Write down the domain, co domain and range of `Rdot`

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Given,R =` {(x, y): y = x + 1} = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}`
So,Domain = {1, 2, 3,4, 5,}
Co-domain = A
Range = {2, 3, 4, 5, 6}.
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If A={1,2,3},\ B={4,5,6} Is the following relatios from A\ to\ B ? Giv...

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  2. If A={1,2,3},\ B={4,5,6} then, Is the following relation from A\ to\ ...

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  3. Let A={1,2,3,4,5,6}dot Define a relation R on set A by R={(x , y): y=x...

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  4. Figure 2.14 shows a relation R between the sets P\ a n d\ Q . Write th...

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  5. Let R be a relation in N defined by R={(a , b); a , b in N\ a n d\ a=...

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  6. A relation R is defined from a set A={2,3,4,5}to\ a\ s e t\ B={3,6,7, ...

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  7. Let A\ be the set of first five natural numbers and let R be a relati...

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  8. Find the inverse relation R^(-1) in the following case: R :{(1,2),(1,3...

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  9. Find the inverse relation R^(-1) in the following case: R :{(x , y): x...

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  10. If R is a relation on a finite set having n elements, then the number ...

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  11. Find the inverse relation R^(-1) in the following case: R is a rela...

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  12. Write the following relation as the sets of ordered pair: A relation ...

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  13. Write the following relation as the set of ordered pair: A relation R ...

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  14. Write the following relation as the set of ordered pair: A relation R ...

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  15. Write the following relation as the set of ordered pair: A relation R ...

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  16. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

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  17. Let A="{"1,2"]"a n d\ B={3,4} . Find the total number of relations fro...

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  18. Determine the domain and range of the relation R defined by: R={(x , x...

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  19. Determine the domain and range of the relation R defined by: R={(a , b...

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  20. Let A={x ,\ y , z}n d\ B={a , b} . Find the total number of relations ...

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