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 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

{ϕ}

, {-1, 0, 1}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

{ϕ}

, {-1, 0, 1}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

{ϕ}

}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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}}

Suggest Corrections

Similar questions

Q. Which of the following represents the power set of Set A, where A = { - 1, 0, 1 }

Q. The elements of power set of Set

A = {- 1, 0, 1}

are

Q. Bond order of

H e_{2}, H e_{2}^{+}

and

H e_{2}^{2 +}

are respectively:

Q. Find the point of intersection of the line passing through the points

(1, 1, - 1); (- 1, 0, 1)

and the xy-plane.

Q. The range of the function

f (x) = \frac{x + 2}{|x + 2|}

, x ≠ −2 is
(a) {−1, 1}
(b) {−1, 0, 1}
(c) {1}
(d) (0, ∞)

Join BYJU'S Learning Program