Which of the following is the power set of set A -1-0-1 - A- -1-0-0-1-1-1-1-0-1B- 1-0-1-1-0-0-1-1-1-1-0-1C- 1-0-1-1-0-0-1-1-1-D- 1-0-1-1-0-0-1-1-1-1-0-1

The correct option is B 1, 0, 1, 1, 0, 0, 1, 1, 1, {ϕ nbsp;}, 1, 0, 1Power set of any set A, contains all the subsets of set A. Given the set A = 1, 0, 1 ...

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Standard XI

Mathematics

Power Set

Which of the ...

Question

Which of the following is the power set of set A = { - 1, 0, 1 } ?

{{1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {-1, 0, 1}}

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{ {-1, 0}, {0, 1}, {-1, 1},

{ϕ}

, {-1, 0, 1}}

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{{1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1},

{ϕ}

, {-1, 0, 1}}

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{{1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1},

{ϕ}

}

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Solution

The correct option is C {{1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, ${ϕ}$ , {-1, 0, 1}}
Power set of any set A, contains all the subsets of set A.
Given the set A = {-1, 0, 1}.
Subsets of the set are {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, ${ϕ}$ , {-1, 0, 1}
So, the set containing all these subsets as its elements will be the power set of A.
i.e., P(A) = { {-1, 0}, {0, 1}, {-1, 1}, ${ϕ}$ , {-1, 0, 1}}

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