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Let R be a relation on NxxN defined by (...

Let `R` be a relation on `NxxN` defined by `(a , b)\ R(c , d)hArra+d=b+c\ if\ (a , b),(c , d) in NxxN` then show that: `(i)\ (a , b)R\ (a , b)\ for\ a l l\ (a , b) in NxxN` `(ii)\ (a , b)R(c , d)=>(c , d)R(a , b)for\ a l l\ (a , b),\ (c , d) in NxxN` `(iii)\ (a , b)R\ (c , d)a n d\ (c , d)R(e ,f)=>(a , b)R(e ,f)\ ` for all`\ (a , b),\ (c , d),\ (e ,f) in NxxN`

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Figure 2.15 shows a relationship between the sets P\ a n d\ Q . Write ...

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

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

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

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

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

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

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

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

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  10. If R={(2,1),\ (4,7),\ (1,-2)...} , then writhe the linear relation bet...

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

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  13. 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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  14. Let A={1,2,3},\ B={1,3,5}dot If relation R from A to B is given by R={...

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

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

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

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  19. R is a relation from {11,12,13} to {8,10,12} defined by y=x-3 Then ...

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  20. Let R be a relation from a set A to a set B, then

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