EASYAmity University Noida B.Tech Admissions 2025
ApplyAmong Top 30 National Universities for Engineering (NIRF 2024)
Complement of a set, Law of Complement, Property of Complement - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
-
19 Questions around this concept.
Solve by difficulty
$\left(A^{\prime}\right)^{\prime}=$
$A \cap A^{\prime}=$
$U^{\prime}=$
JEE Main 2025: Rank Predictor | Admit Card Link | January Session Exam Analysis
JEE Main 2025: Memory Based Questions with Solution Jan 22: Shift 1 | Shift 2
JEE Main 2025: High Scoring Topics | Sample Papers | Mock Tests | PYQs
Concepts Covered - 1
Complement of a set, Law of Complement, Property of Complement
Let $U$ be the universal set and $A$ is a subset of $U$. Then the complement of $A$ is the set of all elements of $U$ which are not the elements of $A$.
Symbolically, we use $\mathrm{A}^{\prime}$ or $\mathrm{A}^{\mathrm{C}}$ to denote the complement of A with respect to U .
$A^{\prime}=\{x: x \in U$ and $x \notin A\}$. Obviously, $A^{\prime}=U-A$
Properties of Compliment
$A \cup A^{\prime}=U$
$\mathrm{A} \cap \mathrm{A}^{\prime}=\varphi$
$\left(\mathrm{A}^{\prime}\right)^{\prime}=\mathrm{A}$
$U^{\prime}=\varphi$ and $\varphi^{\prime}=U$
$A-B=A \cap B^{\prime}$
Study it with Videos
Complement of a set, Law of Complement, Property of Complement"Stay in the loop. Receive exam news, study resources, and expert advice!"
Get Answer to all your questions
JEE Main Articles
Jan 23, 2025
Back to top