Careers360 Logo
Search Colleges, Exams, Schools & more
ask-icon
share
    CENTAC Seat Allotment 2026 - Date, Result, Process, Allotment List
    1. Home
    2. JEE Main
    3. Study Material
    4. Complement of a set, Law of Complement, Property of Complement - Practice Questions & MCQ

    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

    • 20 Questions around this concept.

    Solve by difficulty

    QuestionEASY

    $\left(A^{\prime}\right)^{\prime}=$

    View Solution

    $A \cap A^{\prime}=$

    View Solution

    $U^{\prime}=$

    View Solution

    Write A' where $A=\{x:x\in I,-3<x<3\}$

    $U=\{x:x\in I,-10<x<10\}$

    View Solution

    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

    Study other Related Concepts

    Complement of a set, Law of Complement, Property of Complement Current Topic

    Sets, Roster and Set Builder form of Sets
    Equal and Equivalent Sets
    Subsets, Proper Subset, Improper Subset, Intervals
    Finite set, Infinite set, Singleton set
    Power set, Universal set
    Union of sets, Properties of union
    Intersection of Set, Properties of Intersection
    Difference of set
    Complement of a set, Law of Complement, Property of Complement
    Cardinal number of some sets

    "Stay in the loop. Receive exam news, study resources, and expert advice!"

    Get Answer to all your questions

    B.Tech/B.Arch Admissions OPEN

    Amity University B.Tech Admissions 2026
    Apply

    Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026

    UPES B.Tech Admissions 2026
    Apply

    Last Date to Apply: 18th May | Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements

    Amrita University B.Tech 2026
    Apply

    Recognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships

    Chandigarh University Admissions 2026
    Apply

    NAAC A+ Accredited | Among top 2% Universities Globally (QS World University Rankings 2026)

    Indus University B.Tech Admissions 2026
    Apply

    Highest CTC 26 LPA | Top Recruiters: Accenture, TCS, Tech Mahindra, Capgemini, Microsoft

    Greater Noida Institute of Technology (GNIOT) B.Tech 2026
    Apply

    NAAC A+ Accredited | Highest CTC 27.25| Average CTC 7.75 LPA | 400+ Recruiters

    View all Application Forms

    Student Community: Where Questions Find Answers

    Ask and get expert answers on exams, counselling, admissions, careers, and study options.
    Download Careers360 App
    All this at the convenience of your phone

    • Regular Exam Updates

    • Best College Recommendations

    • College & Rank predictors

    • Detailed Books and Sample Papers

    • Question and Answers

    Scan and download the app

    OR

    College Predictor