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

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

A

`{2^2} `

B

`{phi ,x,y}`

C

`{phi ,{x},{2y}}`

D

`{phi ,{x},{y},{x,y} }`

Text Solution

Verified by Experts

The correct Answer is:
D
subsets of set A are `phi {x},{y},{x,y}`
`threrefore P(A) ={phi ,{x}{y},(x,y)}`
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OBJECTIVE RD SHARMA-SETS-Section I - Solved Mcqs
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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. Let A,B,C be three sets such that Acup B cup C=U,where U is the uni...

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

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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 ...

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

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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 cellphone, 15% families own a sco...

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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. Q. Let P={theta:sin theta-cos theta=sqrt2 cos theta} and Q={theta:sin ...

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

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