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Let A={1,2,3}and B={x : x in N ,x is p...

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

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To solve the problem, we need to find the Cartesian product \( A \times B \) where \( A = \{1, 2, 3\} \) and \( B \) is the set of prime numbers less than 5. ### Step-by-step Solution: 1. **Identify Set A**: \[ A = \{1, 2, 3\} \] ...
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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Express A={(a ,b):2a+b=5,a ,b in W} as the set ordered pairs.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Let R be the relation on the set N of natural numbers defined by R={(a...

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  17. If A={a ,b} and B={-4,6}, find AxxB

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  18. A relation R is defined on the set Z of integers as: (x ,y) in R x^2...

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  19. For the relation R1 defined on R by the rule (a ,b) in R1:1+ab >...

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  20. The position of a point in a two dimensional plane in Cartesian coo...

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