“I alone cannot change the world, but I can cast a stone across the water to create many ripples.” —Mother Teresa

Question 1. Determine whether each of the following relations are reflexive, symmetric and transitive:(N)
A. Relation R in the set
A = {1, 2, 3, …, 13, 14} defined as R = {(x, y) : 3x – y = 0}
B. Relation R in the set N of natural numbers defined as R = {(x, y): y = x + 5 and x < 4}
C. Relation R in the set A = {1, 2, 3, 4, 5, 6} as R = {(x, y) : y is divisible by x}
D. Relation R in the set Z of all integers defined as R = {(x, y) : x – y is an integer}
E. Relation R in the set A of human beings in a town at a particular time given by
a. R = {(x, y) : x and y work at the same place}
b. R = {(x, y) : x and y live in the same locality}
c. R = {(x, y) : x is exactly 7 cm taller than y}
d. R = {(x, y) : x is wife of y}
e. R = {(x, y) : x is father of y}


This Post Has 7 Comments

  1. Sir Naye video kab uploaded karenge ? Syllabus ke bare me kuch to idea batye please please reply me thanks thanks for Ashish sir and support team.

  2. Sir video quality 240 kar dijye eak din me eak hi lecture complete ho PA raha Hai.please reply me thanks.

    1. Sorry for the inconvenience caused. But this is a no-loss-no-profit initiative to provide quality education to all. We are trying our best in the limited resources to provided best possible experience and education.

      1. ankit

        sir please decrease the video quality

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