NCERT Solutions for Class 12 Maths Chapter 1
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If you want to be strong in Maths, following NCERT Maths syllabus and exemplar should be your first step. The competent panel that creates the NCERT Maths syllabus makes sure that the students become well-versed in the fundamental concepts in Maths. A student who has followed NCERT Maths thoroughly will find it easy to understand advanced problems later in her academic career. So it is important that a student understands the concepts presented in the NCERT syllabus. Vedantu’s online Maths courses are designed in such a way that children can have fun while learning about these serious and important Maths concepts.
Chapter 1 of Class 12 Maths involves Relation and Function. This chapter is of utmost importance and should not be skipped without fully understanding each and every aspect of it. Why? - Because it forms the fundamentals of Mathematics in a significant way. Without properly understanding Relation and Function, you cannot have a grasp on chapters like differential calculus, integration, Analytic Geometry, etc.
Function - if an input value triggers a specific output value each time.
Relation-If an input value triggers different output values .
Example 1 -
X - 3 5 8 9 3 2 8
Y - 8 1 7 4 5 12 1
In this set, the output values of 3 and 8 input values are different in two places. This is an example where the set of values represent Relation.
Example 2 -
X - 3 5 8 9 3 2 8
Y - 8 1 7 4 8 12 7
As said earlier, Class 12 NCERT solutions Chapter 1 is of utmost importance to enhance your basic Maths knowledge. You have to understand not just the basics of this chapter but even the advanced portion to have a command over this. Vedantu’s Relation and Function PDF and live video courses will teach you the fundamentals of the chapter. It will also prepare you in such a way that even the advanced questions from this chapter will be easy for you to solve.
Vedantu’s Relations and Functions questions and answers PDF have both easy solutions to let you understand the basics, and advanced solutions to erase any confusion from your mind. In our NCERT Solutions for Class 12 Maths, Chapter 1 you will find basic problems like finding if the Relation is reflexive, symmetric or transitive. Intermediate problems like checking the ‘injectivity’ and ‘subjectivity’ of Functions are also included in our Relation and Function Class 12 solutions PDF.
The best part is, even the advanced solutions are available in our Relation and Function PDF - Questions like - Give examples of two functions f: N → Z and 𝑔: Z → Z such that 𝑔of is injective but 𝑔is not injective - are included.
We cover all exercises in the chapter given below:-
EXERCISE 1.1 - 16 Questions with Solutions
EXERCISE 1.2 - 12 Questions with Solutions
EXERCISE 1.3 - 14 Questions with Solutions
EXERCISE 1.4 - 13 Questions with Solutions.
Vedantu’s approach to solving these problems ensures that there is minimum complexity in the solutions. No steps are skipped and the solutions are easy to understand. The language is kept as simple as possible. Our experienced teachers who come from IITs and other top tier colleges know what works best for students and devise solutions to Maths problems accordingly.
Vedantu’s responsibility does not end after providing you with the Relation and Function class 12 Solutions PDF, we have a responsibility to address any doubts that can occur in your minds regarding any of the solutions. For that, we have interactive online classes where you can ask questions to the teachers teaching LIVE then and there. From the comfort of your home, you can get the same benefit that you get from any A-grade school. The best thing is you will be seeing the teachers as well as the slides and other helpful pictures and videos related to the chapters being taught. This virtual visual learning will go a long way to make your concepts clear. Sign up now to put the fun back in Learning.