Relations and Functions - Full Chapter Explanation, NCERT Solutions | Class 12 Maths Ch 1 | 2022-23
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✅ In this video,
✔️ Class: 12th
✔️ Subject: Maths
✔️ Chapter: Relations and Functions (Chapter 1)
✔️ Topic Name: Relations and Functions - Full Chapter Explanation, NCERT Solutions and MCQs | Class 12 Maths Chapter 1 | 2022-23
✔️ Topics Covered In This Video : This video by Shivani Mam will provide detailed explanation of the chapter Relations and Functions. In this video, she will discuss and explain all the important concepts, NCERT Exercise solutions, MCQs and will also provide helpful tips on how to answer them during the exams. The video will help students to prepare for their upcoming board exams and score better in the examination.
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00:00 Introduction: Relations and Functions
00:51 Overview: Exercise introduction 1.1
01:50 Set
05:25 Overview: Cartesian product of sets
12:41 Relation
21:08 Example of Relations and Functions
26:49 Domain of a Relation
35:06 Types of Relation
42:50 Universal Relation
47:05 Identity Relation
01:05:33 Symmetric relation
01:12:28 Transitive relation
01:23:52 Equivalence relation
01:49:13 Equivalence Class
02:20:18 Question 1 to 5: Exercise 1.1 (Page No. 5): Relations and Functions
Que.1 Determine whether each of the following relations are reflexive, symmetric and transitive:
04:32:01 Question 7 to 16: Exercise 1.1 (Page No. 6): Relations and Functions
06:58:40 Exercise introduction 1.2
07:09:29 Identify which of them is a function
07:18:30 Points to remember
07:30:12 How to identify whether a relation is a function?
07:33:41 Which of the following relations are function?
07:38:06 Types of Functions
07:45:34 How to prove a function to be one-one?
08:05:43 Many one function
08:07:38 Onto function/Surjection
08:16:14 How to prove a function to be onto?
08:33:07 Into Functions
08:34:26 Bijection/one-one onto function
08:51:56 Question 1 to 3: Exercise 1.2 (Page No. 10): Relations and Functions
10:15:03 Question 4 to 12: Exercise 1.2 (Page No. 11): Relations and Functions
11:52:57 Exercise introduction 1.3
11:57:02 Properties of composition function
12:17:06 Invertible Function
13:16:15 Question 1 to 8: Exercise 1.3 (Page No. 18): Relations and Functions
14:20:57 Question 9 to 14: Exercise 1.3 (Page No. 19): Relations and Functions
14:53:33 Exercise introduction 1.4
15:31:42 Identity elements
15:41:31 Inverse of an element
15:48:48 Question 1 to 11: Exercise 1.4 (Page No. 24): Relations and Functions
18:50:12 Question 12 & 13: Exercise 1.4 (Page No. 25): Relations and Functions
18:58:02 Question 1 to 10: Miscellaneous Exercise (Page No. 29): Relations and Functions
20:55:56 Question 11 to 19: Miscellaneous Exercise (Page No. 29): Relations and Functions
22:14:03 Question 1 to 10: Multiple Choice Questions (MCQs): Relations and Functions
Que.1: If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then Ris:
22:47:22 Question 11 to 15: Multiple Choice Questions (MCQs): Relations and Functions
23:09:31 Relations and Functions: Complete Chapter Revision
26:55:36 Website Overview
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