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if A and B are two sets them (A-B)c...

if `A` and `B` are two sets them
`(A-B)cup (B-A)cup (AcapB)`is equal to

A

`A cup B`

B

`Acap B`

C

`A`

D

`B^c`

Text Solution

Verified by Experts

The correct Answer is:
A
it is evident from the venn - diagram that
`(A-B)cup (B-A)=(Acup B)-(AcapB)`
`therefore ((A-B)cup (B-A))cup (AcapB)`
`=((Acup B)-(AcapB))cup (AcapB)=Acup B`
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OBJECTIVE RD SHARMA-SETS-Section I - Solved Mcqs
  1. Let A and B be two sets . The (Acup B)'cup(A'capB)=

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  2. (A-B)cup(B-A)=?

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  3. if A and B are two sets them (A-B)cup (B-A)cup (AcapB)is equal to

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  4. If A,B,C be three sets such that A cup B=A cupC and Acap B=AcapC,...

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

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  6. Let A,B,C be three sets such that Acup B cup C=U,where U is the uni...

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

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  8. 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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  9. if A=( theta :2 cos^(2)theta + sin theta le 2) and b= {theta :(pi)/...

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  10. 20 teachers of a school either teach mathematics or physics 12 of ...

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

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  12. A college warded 38 medals in football, 15 in basketball and 20 in ...

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

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

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

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  16. In a certain town 25% families own a cellphone, 15% families own a sco...

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

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

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

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

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