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A and B are two non empty set having n e...

`A` and `B` are two non empty set having `n` element in common ; then prove that `AxxB` and `BxxA` have `n^2` element in common.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. For any sets A ,B ,C ,D prove that: (AxxB)nn(CxxD)=(AnnC)xx(BnnD)

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If A={1,2},\ from the set AxxAxxA

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  16. If R is the set of all real numbers, what do the cartesian products R...

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  17. Let A and B be two sets such that AxxB consists of 6 elements. If thre...

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  18. Let A and B be two sets such that n(A)=5\ a n d\ n(B)=2,\ if\ a ,\ b ,...

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  19. If (a/3-1,\ b-2/3)=(5/3,1/3) , find the values of a\ a n d\ bdot

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  20. If the ordered pairs (x ,-1) and (5, y) belong to the set {(a , b): b=...

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