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Determine the domain and range of the re...

Determine the domain and range of the relation `R` defined by: `R={(x , x+5): x in {10 ,1,2,3,4,5}`

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`R={(x,x+5):x∈{0,1,2,3,4,5}}`
`⇒R={(0,5),(1,6),(2,7),(3,8),(4,9),(5,10)}`
Domain of `R={0,1,2,3,4,5}`
Range of `R={5,6,7,8,9,10}`
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. 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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  2. Let A="{"1,2"]"a n d\ B={3,4} . Find the total number of relations fro...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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