Home
Class 12
MATHS
If A = {x , y}, then the power set of A ...

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

A

`{x^(y), y^(x)}`

B

`{phi, x, y}`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Since, power set is a set of all possible subsets of a set.
`therefore P(A)={phi, {x}, {y},{x,y}}`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PRACTICE SET 15

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 17

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

what is power set

If A is non-empty set then the relation sube (is a subset of) on the power set of A is

Knowledge Check

  • If A={x,y} then power set of A is

    A
    `{x^(y),y^(x)}`
    B
    `{phi,x,y}`
    C
    `{phi},{x},{y},{2y}`
    D
    `{phi},{x},{y},{x,y}`

  • if A ={phi ,{phi}}, then the power set of A is

    A
    `A `
    B
    `{phi ,{phi},A}`
    C
    `{phi,{phi},{{phi}},A}`
    D
    None of these

  • If A = {phi , {phi}}, then the power set of A is

    A
    A
    B
    `{phi, {phi} , A}`
    C
    `{phi,{phi}, {{phi}}, A}`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    If A={x|x^2-5x+6=0}, then the power set of A is

    If A={lambda, (lambda, mu)} , then the power set of A is

    If A={phi,{{phi}} , then the power set P (A) of A is

    If A = { 1,2,3} , then the elements in its power sets, is

    If A= {1, 2,3}, then the elements in its power sets, is

    Home
    Profile