Relations & Functions Class 12 Maths | NCERT Exercise 1.1 | Ashish Sir | MathYug

Class 12 Maths Chapter 1: Relations and Functions – NCERT Exercise 1.1

Taught by Ashish Sir | MathYug | Complete Board + JEE Prep in Hindi

In this detailed and conceptual lecture, Ashish Sir explains the foundational concepts of Relations and Functions, focusing on:

*Reflexive, Symmetric, Transitive, and Equivalence Relations
*Equivalence Classes
*NCERT Exercise 1.1 Questions
*NCERT Exemplar & Board’s Question Bank Problems
*Step-by-step explanations in Hindi + English

Timestamps:

00:00:08 Reflexive, Symmetric, Transitive Relations and Equivalence Relations

00:21:22 Equivalence classes
Lecture 1 (NCERT Exercise 1.1, NCERT Exemplar, Board’s Question Bank)

00:27:35 Question 6
Let A = {0, 1, 2, 3} and define a relation R on A as follows: R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}. Is R reflexive? symmetric? transitive? (E)

00:36:52 Question 7
Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2)}. Choose the correct answer. (N)
A. R is reflexive and symmetric but not transitive.
B. R is reflexive and transitive but not symmetric.
C. R is symmetric and transitive but not reflexive.
D. R is an equivalence relation.

00:39:32 Question 8
Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1} is reflexive, symmetric or transitive. (N)

00:43:32 Question 9
Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive. (N)