Q. If $A = \{ x,\ y\}$, then the power set of $A$ is
A) $\{ x^{y},\ y^{x}\}$
B) $\{\phi,\ x,\ y\}$
C) $\{\phi,\ \left\{ x \right\},\ \{ 2y\}\}$
D) $\{\phi,\ \left\{ x \right\},\ \left\{ y \right\},\ \{ x,\ y\}\}$
Explanation
(d)
Since, power set is a set of all possible subsets of a set.
$\therefore\ \ \ P(A) = \{\phi,\ \left\{ x \right\},\ \left\{ y \right\},\ \{ x,\ y\}\}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.