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If `R` is a relation on the set `A={1,2,3,4,5,6,7,8,9}` given by `x R y⇔y =3x`, then `R=` (a) `{(3, 1), (6, 2), (8, 2), (9, 3)}` (b) `{(3, 1), (6, 2), (9, 3)}` (c) `{(3, 1), (2, 6), (3, 9)}` (d) none of these.

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RD SHARMA ENGLISH-RELATIONS-All Questions
  1. If AsubeB , and CsubeD , prove that AxxCsubeBxxDdot

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  2. If AsubeB , prove that AxxCsubeBxxC for any set C.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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