Question

Assertion (A) The power set of the set $\{1,2\}$ is the set $\{\varphi ,\{1\},\{2\},\{1,2\}\}$.
Reason (R) The power set is set of all subsets of the set.

• A. Both A and R are correct; R is the correct explanation of A
• B. Both A and R are correct; R is not the correct explanation of A
• C. A is correct; R is incorrect
• D. R is correct; A is incorrect

Answer 1

Answer: (A)

The subsets of the sets $\{1,2\}$ are $\varphi ,\{1\},\{2\}$ and $\{1,2\}$.
So, $P(A)=\{\varphi ,\{1\},\{2\},\{1,2\}\}$
$\therefore A$ is true. Also, $R$ is true and $R$ is the correct explanation of $A$.