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00:00:05 Introduction and How I am going to teach you Class 12 Maths on my Channel00:06:37 Empty Relations and Universal Relations (Trivial Relations)Lecture 1 (NCERT Exercise 1.1, NCERT Exemplar, Board’s Question Bank)00:12:27 Question 1Let R be the relation in the set Ngiven by R = {(a, b) : a = b – 2, b 6}. Choose the correct answer.A. (2, 4) ∈ R B. (3, 8) ∈ R C. (6, 8) ∈ R D. (8, 7) ∈ R (N)00:15:17 Question 2Let A= {1, 2, 3,} and define R = {(a, b): a – b = 12}. Show that R is empty relation on Set A. (B)00:17:47 Question 3Let 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)00:28:17 Question 4If 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 |a – b| 0}R2 = {(a, b) : a, b are weights of students, and |a – b| 0}R3 = {(a, b) : a, b are students studying in same class} (B)00:40:47 Question 5Let A = {1, 2, 3,} and define R = {(a, b): a + b 0}. Show that R is a universal relation on set A. (B)-----------------------------------------Full Syllabus is available on the Website.Website - https://ashishkumarletslearn.com/-*If you have any query, you can contact our support team on the below link:https://ashishkumarletslearn.com/support#RelationsAndFunctions #Class12Maths #NCERTSolutions