Lakshesh Verma Lakshesh Verma

Lecture 1 : Cartesian product of sets

  • Relations and Functions Assignments 1

    The Cartesian product A x A has 9 elements among which are found (-1, 0) and (0, 1). Find the set A and the remaining elements of A x A.

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  • Relations and Functions Assignments 2

    Let A and B be two sets such that n(A) = 3 and n (B) = 2. If (x, 1), (y, 2), (z, 1) are in A x B, find A and B, wherex, y and z are distinct elements.

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  • Relations and Functions Assignments 3

    Let A = {1, 2} and B = {3, 4}. Write A x B. How many subsets will A x B have? List them.

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  • Relations and Functions Assignments 4

     Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that

    (i) A x (B ∩C) = (A x B) ∩ (A x C)

    (ii) A x C is a subset of B x D

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  • Relations and Functions Assignments 5

    If A x B = {(a, x), (a, y), (b, x), (b, y)}. Find A and B.

     

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  • Relations and Functions Assignments 6

    If A = {-1, 1}, find A x A x A

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  • Relations and Functions Assignments 7

    State whether each of the following statement are true or false. If the statement is false, rewrite the given statement correctly.

    (i) If P = {m, n} and Q = {n, m}, then P x Q = {(m, n), (n, m)}.

    (ii) If A and B are non-empty sets, then A x B is a non-empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B.

    (iii) If A = {1, 2}, B = {3, 4}, then A x (B ∩ Φ) = Φ.

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  • Relations and Functions Assignments 8

    If G = {7, 8} and H = {5, 4, 2}, find G x H and H x G.

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  • Relations and Functions Assignments 9

    If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A x B)?

     

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  • Relations and Functions Assignments 10

    If, find the values of xand y.

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    • Description:-

    Lecture 1:
    Today, we will discuss the first topic, i.e; Cartesian product of sets of Chapter 2 Relations and Functions.
    Objectives:
    1. Concept of Cartesian Product of  Sets.
    Important Tip: 
    This lecture is about Cartesian product of sets. In this topic, you’ll get to learn about the Cartesian product. Have a clear focus on these topics as it help you in further studies also.
    Please go through the topic, their notes. Properly do the assignments, watch videos of the concerned topics. If you have any doubt about any topic/point please submit it in the discussion section... it will be answered as soon as possible.
    After all of this... when you feel confident about the particular topic/chapter then take the quiz.

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