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If A={1,2,3},B={4,5,6}, which of the fol...

If `A={1,2,3},B={4,5,6},` which of the following are relations from `AtoB` ? Give reasons in support of your answer. `{(1,6),(3,4),(5,2)}` (ii) `{(1,5),(2,6),(3,4),(3,6)}` (iii) `{(4,2),(4,3),(5,1)}` (iv) `AxxBdot`

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If A={1,2,3},\ B={4,5,6} Is the following relation from A\ to\ B ? Give reason in support of your answer: R_2={(1,5),\ (2,4),\ (3,6)}

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If A={1,2,3},\ B={4,5,6} Is the following ralation from A\ to\ B ? Give reason in support of your answer: R_1={(1,4),\ (1,5),\ (1,6)}

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If A={1,2,3} and B={4,5,6} , then which of the following is a relation from set A to B? Give reason: (i) R_(1)={(1,5),(2,4),(3,5)} (ii) R_(2)={(4,1),(2,6),(5,1),(2,4)} (iii) R_(3)={(1,4),(2,5),(3,4),(2,6),(3,6)} (iv) AxxB

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. If AsubeB , prove that AxxCsubeBxxC for any set C.

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  2. If R is a relation on the set A={1,2,3,4,5,6,7,8,9} given by x R y⇔y =...

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  3. If A={1,2,3},B={4,5,6}, which of the following are relations from AtoB...

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  4. A" "=" "{1," "2," "3." "5}" "a n d" "B" "=" "{4," "6," "9} . Define a ...

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  5. Let R be the relation on the Z of all integers defined by (x ,y) in R...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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