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Let A={1,2,3ddot, 14} . Define a relatio...

Let `A={1,2,3ddot, 14}` . Define a relation on a set A by `R={(x , y):3x-y=0. w h e r e\ x , y in A}` . Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.

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`A={1,2,3,....,14}`
`R={(x,y):3x−y=0,` where `x,yinA}`
Or,
`R={(x,y):2x=y,` where` x,yinA}` As
`3xx1=3`
`3xx2=6`
`3xx3=9`
...
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Let A={x ,\ y , z}n d\ B={a , b} . Find the total number of relations ...

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

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

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

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  5. Let A={1,2,3,5} B={2,4,9} .Define a relation. from A to B by R= ...

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  6. Write the relation R={(x , x^3): x is a prime number less than 10} in ...

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  7. Let A={1,2,3,4,5,6}dot Let R be a relation on A defined by R={(a , b):...

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  8. Figure 2.15 shows a relationship between the sets P\ a n d\ Q . Write ...

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  9. Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is ...

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  10. Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ f...

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  11. If A={1,2,4},\ B={2,4,5}a n d\ C={2,5},\ write (A-C)xx(B-C)dot

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  12. If n(A)=3, n(B)=4, then write n(AxxAxxB) .

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  13. If R is a relation defined on the set Z of integers by the rule (x , y...

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  14. If R={(x , y): x , y in Z ,\ x^2+y^2lt=4} is a relation defined on th...

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  15. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

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  16. Let R={(x , y): x , y in Z ,\ y=2x-4}dotIf\ (a,-2)\ a n d\ (4, b^2) ...

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  17. If A={1,3,5}a n d\ B={2,4} list the elements of R ,\ if\ R={(x , y): x...

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  18. If R={(x , y): x , y in W ,2x+y=8} ., then write the domain and range...

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  19. Let A\ a n d\ B be two sets such that n(A)=3\ a n d\ n(B)=2. If (x , 1...

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  20. If A={1,2,3},\ B="{"1,4,6,9"]"a n d\ R is a relation from A to B defin...

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