Topics covered under Chapter 1 and 2 of the CBSE Mathematics NCERT book

For the students in class12, there are many references as well as solution books available in the market. They are prepared with a motive to help the learner learn various aspects of the subject in fewer efforts and save his energy as well as time. For the subjects such as maths where a number of students complain and search for some better options that can clear the concepts, the availability of solutions can be of great help.

The NCERT Solutions for Class 12 Relations and Functions CBSE is the solution book for the first chapter of the Mathematics book which is published by NCERT. The CBSE Class 12 Mathematicschapter 2 is Trigonometric functions, and there is a solution book for the same. The solution books published by NCERT are a way of trying to engage the students into practicing more numerical and other problems. As the solutions are also provided, the students can self-assess themselves by cross checking the answers. In case they cannot solve any particular sum, they can refer to the solution book to see the solution.  There are solutions given with easy narration and explanation that can clear the concepts of the learner and get the best of the rank in the subject.

Chapter 1: Relations and Functions.

In mathematics, the term “relation” means that an n-nary relation on n-sets is a subset of theCartesian product of the n number of sets. For example, a relation is homogeneous when it is formed within one single set. Whereas,” function” can be defined as the relation between the ‘set of inputs’ and the ‘set of possible outputs.' The factor of each input being related to exactly one output being constant. The first chapter of the Mathematics book of Class 12 covers the following topics:

-          Introduction

-          Types of Relations: Void Relation, Universal Relation, and Identity Relation as well as aReflexive relation and symmetric relation. There is also anti-symmetric relationand Transitive relation as well as anequivalence relation, partial-order relation, total order relation and inverse relation.

-          Types of Functions

-          Composition of functions and invertible function

-          Binary operations: Properties of binary operations

-          Types of Binary Operations: Associative Law, Commutative Law, Distributive Law.
The first chapter contains the formulas and the numerical along the lines of the aforementioned topics.

Chapter 2: Trigonometric Functions.

Trigonometry is one of the important branches of mathematics that studies the lengths and the angles of triangles in a layman’s language. In Class 11 of CBSE mathematic, the student is introduced to the basic laws and terms of trigonometry. In Class 12, the stakes are raised, and there are numerically based on Trigonometric functions. The Trigonometric Functions chapter which is the second chapter of the book covers the following topics:

-          Introduction
-          Basic Concepts

-          Properties of Inverse Trigonometric Functions: Inverse Functions, Inverse trigonometric functions, Domain and range of inverse trigonometric functions, graphs of inverse trigonometric functions, Trigonometric equation, Solution/roots of a trigonometric equation (principal and general solution). 

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