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A relation R is defined from a set A={2,...

A relation `R` is defined from a set `A={2,3,4,5}to\ a\ s e t\ B={3,6,7, 10}` as follows: `(x , y) in RhArrx` is relatively prime to `ydot` Express `R` as a set of ordered pairs and determine its domain and range.

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To solve the problem, we need to express the relation \( R \) as a set of ordered pairs and determine its domain and range. ### Step 1: Understand the Definition of Relatively Prime Two numbers \( x \) and \( y \) are said to be relatively prime if their greatest common divisor (GCD) is 1. ### Step 2: Identify the Sets We have: - Set \( A = \{2, 3, 4, 5\} \) ...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Figure 2.14 shows a relation R between the sets P\ a n d\ Q . Write th...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Let R be a relation from N to N defined by R = {(a , b) : adot b in ...

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  19. Let A={1,2,3ddot, 14} . Define a relation on a set A by R={(x , y):3x-...

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  20. Define a relation R on the set N of natural numbers by R={(x , y): y=x...

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