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The Cartesian product A xxA has 9 eleme...

The Cartesian product `A xxA` has 9 elements among which are found `(-1," "0)" "a n d" "(0," "1)` . Find the set A and the remaining elements of `A xxA` .

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The Cartesian product A xxA has 9 elements among which are found (-1, 0) " and " (0, 1) . Find the set A and the remaining elements of A xxA .

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RD SHARMA ENGLISH-RELATIONS-All Questions
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  2. Let R be a relation in N defined by (x ,y) in R x+2y=8 . Express R a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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