If $A = \left\{ {x,\;y} \right\}$, then the power set of $A$ is

$\left\{ {{{\text{x}}^{\text{y}}},{\text{\;}}{{\text{y}}^{\text{x}}}} \right\}$

$\left\{ {\phi ,\;x,\;y} \right\}$

$\left\{ {\phi ,\;\left\{ x \right\},\;\left\{ {2y} \right\}} \right\}$

JEE MATHEMATICS MCQ: SET THEORY

1 Easy

1 of 1

Understanding +4 | -1

A = \left\{ {x,\;y} \right\}

, then the power set of

A

View answer and explanation

Correct option: D

\left\{ {\phi ,\;\left\{ x \right\},\;\left\{ y \right\},\;\left\{ {x,\;y} \right\}} \right\}

Option D (

\{ {\phi ,\\;\\{ x \\} ,\\;\\{ y \\} ,\\;\\{ x,\\;y \\} } \}

) is correct because it lists all possible subsets of the set A = {x, y}, including the empty set and the set itself.

Practice All Chapter MCQs →

S

2 a_1 a_2 a_3 \ldots . . a_{2006}

a_1, a_2, a_3, \ldots ., a_{2006}

S

a N=\{a n: n \in N: b N=\{n b: n \in N\}

c N=\{c N: n \in N\}

b N \cap c N=d N

a, b, c \in N

b, c

A=\{x: x

\}

B=\{x: x

A-B

F(n)

n

[\mathrm{F}(20) \cap \mathrm{F}(16)] \subseteq \mathrm{F}(\mathrm{y})

40 \%

A, 20 \%

10 \%

C

A

C

4 \%

A

C

2 \%

A