Tutoring - Private Lessons
In this comprehensive and thoughtfully designed video lecture, Agam Sir begins with a warm introduction, sharing his unique teaching approach and how Class 12 Mathematics will be covered thoroughly on the MathYug channel. Focusing on NCERT Chapter 1: Relations and Functions, this lecture is the first in the series and covers Exercise 1.1, NCERT Exemplar problems, and key questions from various Board Question Banks, ensuring holistic preparation for CBSE and other state board students. The video dives into the foundational concepts of Empty Relations and Universal Relations, often referred to as Trivial Relations. These are explained with relatable examples and real-world analogies, making abstract ideas easy to grasp. Agam Sir meticulously solves each question from Exercise 1.1 step-by-step, emphasizing not just how to solve but also why each step matters. The lecture walks students through: 00:00:05 Introduction and How Agam Sir is going to teach you Class 12 Maths 00:06:37 Empty Relations and Universal Relations (Trivial Relations) Lecture 1 (NCERT Exercise 1.1, NCERT Exemplar, Board’s Question Bank) 00:12:27 Question 1 Let R be the relation in the set N given 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 2 Let 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 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) 00:28:17 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 |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 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) Throughout the lecture, emphasis is placed on concept clarity, logical thinking, and exam-oriented strategies, ensuring students develop both understanding and confidence. The visual explanations, structured layout, and Agam Sir’s intuitive guidance make this an ideal starting point for mastering Relations and Functions. Whether you're aiming for school exams, board exams, or competitive preparation, this video provides a solid foundation and sets the tone for the rest of the syllabus.
