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If U be the universal set and AuuBuuC=U,...

If U be the universal set and `AuuBuuC=U,"then "[(A-B)uu(B-C)uu(C-A)']` equals

A

`Acup B cup C`

B

`Acup (BcapC)`

C

`Acap BcapC`

D

`Acap (Bcup C)`

Text Solution

Verified by Experts

we have ,
`{(A-B)cup (B-C)cup (C-A)}'`
`=(A-B)' cap (B-C)'cap (C-A)'`
`=Acap B capC. `[ see venn-Diagram]
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OBJECTIVE RD SHARMA ENGLISH-SETS-Section I - Solved Mcqs
  1. if A and B are two sets them (A-B)cup (B-A)cup (AcapB)is equal to

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  2. if A,B,C be three sets such that A cup B=A cupC and Acap B=Acapc=...

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  3. Let A and B be two sets that Acap X =Bcap X=phi and Acup X=Bcup X ...

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  4. If U be the universal set and AuuBuuC=U,"then "[(A-B)uu(B-C)uu(C-A)'] ...

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  5. The sets S and E are defined as given below: S={(x,y): |x-3|lt1and|y...

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  6. if A={(x,y):x^(2)+y^(2)le1,x,yinR]and B={(x,y):x^(2)+y^(2)le x^(2)+y...

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  7. Solve : 2 cos^(2)theta + sin theta le 2, where pi/2 le theta le (3pi)...

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  8. 20 teachers of a school either teach mathematics or physics 12 of ...

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  9. A market research group conducted a survey of 2000 consumers and re...

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  11. In a class of 55 students the number of students studying subject...

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  12. If A={x,y):x^(2)+y^(2)=25} and B={(x,y):x^(2)+9y^(2)=144}, then A ...

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  13. If n(A) = 10,n(B) = 6 and n( C ) =5 for three disjoint sets A,B...

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  14. in a certain town 25% families own a cell phone 15% familesown ...

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  15. Three sets A,B and C are such that A=B nnCandB=CnnA

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  16. If A = {x , y}, then the power set of A is

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  17. the intersection of all the intervals having the form [1+(1)/(...

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  18. The value of (A cup B cup C) cap (A cap B^(C)capC^(C)) cap C^(C) is

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  19. about to only mathematics

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  20. If A and B are two sets containing 2 elements and 4 elements, resp...

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