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If A={1,2,3},B={4},C={5}, then verify th...

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

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Axx(B-C)=(AxxB)-(BxxC)

If A={2} , B={5} , C={3,4,6} , then verify that Axx(BnnC)=(AxxB)nn(AxxC) .

If A={1,4},B={2,3,6} and C={2,3,7} , then verify that Axx(BcupC)=(AxxB)cup(AxxC)

If A={1,4}B={2,3,6} and C={2,3,7} verify that Axx(B-C)=(AxxB)-(AxxC) .

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}

If A={1,4},B={2,3,6} and C={2,3,7} , then verify that Axx(BcapC)=(AxxB)cap(AxxC)

If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ find : Axx(BnnC)

Let A={1,2},B={1,2,3,4},C={5,6}and D={5,6,7,8}. Verify that: (i) Axx(B nn C)=(AxxB)nn(AxxC) . (ii) AxxC is a subset of BxxD .

If A={1,2,3},\ B={3,4} and C={1,3,5} , find Axx(BuuC)

If A={2,3},\ B={4,5},\ C={5,6},\ \ find Axx(BuuC),\ Axx(BnnC),\ (AxxB)uu(AxxC)dot

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Findx and y , if (x+3,5)=(6,2x+y)dot

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Find the values of a\ a n d\ b ,\ if\ (3a-2,\ b+3)=(2a-1,\ 3)dot

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  17. If A={1,3,5,6}a n d\ B={2,4}, find AxxB\ a n d\ BxxAdot

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  18. If A={1,2,3},\ B={3,4} and C={1,3,5} , find Axx(BuuC)

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  19. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find Axx(BnnC)

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  20. If A={1,2,3},\ B={3,4}a n d\ C={1,3,5} , find (AxxB)nn(AxxC)

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