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Write the relation R={(x , x^3): x is a ...

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

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R={(x,x3):x is a prime number less than 10}
The prime numbers less than 10 are 2,3,5 and 7
`∴R={(2,8),(3,27),(5,125),(7,343)}`
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RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Define a relation R on the set N of natural numbers by R={(x , y): y=x...

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

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

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

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

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

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

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

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

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

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

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

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  16. 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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  17. 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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  18. If R={(x , y): x , y in Z , x^2+y^2lt=4} is a relation on Z,\ then d...

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  19. A relation varphi from C\ to\ R is defined by xvarphiyhArr|x|=ydot Whi...

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  20. Let R be a relationon N defined by x+2y=8. The domain of R is (a...

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