Exercise 1.1 Relations and Functions Class 12 Maths Chapter 1

RELATIONS AND FUNCTIONS LECTURE 1 (Part 1)

Sunday, May 02, 2021

Agam Sir

Video Format

Topics/Questions discussed in this video:

Question 1. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b \in 6}. Choose the correct answer. A. (2, 4) ∈ R B. (3, 8) ∈ R C. (6, 8) ∈ R D. (8, 7) ∈ R (N)

Question 2. Let A= {1, 2, 3,} and define R = {(a, b): a – b = 12}. Show that R is empty relation on Set A. (B)

Question 3. Let A be the set of all students of a boy’s school. Show that the relation R in A given by R = {(a, b) : a is sister of b} is the empty relation and R′ = {(a, b) : the difference between heights of a and b is less than 3 meters} is the universal relation. (N)

Question 4. If A is the set of students of a school then write, which of following relations are Universal, Empty or neither of the two. R1 = {(a, b) : a, b are ages of students and |ab| = 0} R2 = {(a, b) : a, b are weights of students, and |ab| = 0} R3 = {(a, b) : a, b are students studying in same class} (B)

Question 5. Let A = {1, 2, 3,} and define R = {(a, b): a + b = 0}. Show that R is a universal relation on set A. (B)

Agam Sir

Agam Sir

Teacher

Ashish Kumar a.k.a Agam Sir has vast experience of 12+ years of teaching Mathematics and Physics. He has skills (academic and vocational) that go with working alongside people, especially young people, their parent(s) and the institutes that works with him. He always seek to be an agent of positive change and progression, a mentor/ trainer/ educator for learners/students, seeing that their needs are ideally met.