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Let R be a relation in N defined by (x ,...

Let `R` be a relation in `N` defined by `(x ,y) in R x+2y=8` . Express `R` `a n d` `R^(-1)` as sets of ordered pairs.

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Let A\ be the set of first five natural numbers and let R be a relation on A defined as follows (x , y) in RhArrxlt=ydot . Express R\ a n d\ R^(-1) as sets of ordered pairs. Determine also The domain of R^(-1) The range of Rdot

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let R be the relation on the Z of all integers defined by (x ,y) in R...

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  2. A relation R is defined from {2,3,4,5} to{3, 6, 7, 10}by : x R y :x i...

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  3. Let R be a relation in N defined by (x ,y) in R x+2y=8 . Express R a...

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  4. The Cartesian product A xxA has 9 elements among which are found (...

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  5. Let A={-1,3,5} and B={2,3} find AxxB

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  6. Express A={(a ,b):2a+b=5,a ,b in W} as the set ordered pairs.

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  7. If AxxB={(a ,1)(b ,3),(a ,3),(b ,1),(a ,2),(b ,2)}, find Aa n dBdot

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  8. Let A={1,2,3}and B={x : x in N ,x is prime less than 5}. Find AxxB

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  9. If AxxB={(a ,1)(a ,5),(a ,2),(b ,2),(b ,5),(b ,1)}, find BxxAdot

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  10. If A={1,2},B={3,4} find AxxB

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  11. Findx and y , if (x+3,5)=(6,2x+y)dot

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  12. If A={a ,b} and B={1,2,3}, find AxxB ,BxxA

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  13. If A={1,2,3},B={4},C={5}, then verify that: Axx(BuuC)=(AxxB)uu(AxxC)

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  14. If A={a ,b} and B={3}, find AxxB

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  15. If AxxBsubeCxxDa n dAxxB!=varphi, prove that AsubeC and BsubeD .

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  16. Express A={(a ,b):a+b=4,a ,b in W} as the set ordered pairs.

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  17. For any sets A ,B ,C ,D prove that: (AxxB)nn(CxxD)=(AnnC)xx(BnnD)

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  18. For any three sets A ,B ,C prove that: Axx(B^(prime)uuC^(prime))^'=(A...

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  19. A and B are two non empty set having n element in common ; then prove ...

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  20. Let A be a non-empty set such that AxxB=AxxC . Show that B=C .

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