Hello Everyone, First of all welcome to all, Here you will understand the concepts of Relations and Functions chapter 2 of class 11. We are providing the best NCERT solutions for class 11 maths chapter 2 Relations and Functions Ex 2.1 Ex 2.2 Ex 2.3 and miscellaneous exercise.
These solutions are prepared in a way to understand the concepts with basics so that students should not learn/mug up the concepts. Relations and Functions class 11 Notes have been prepared by HarMohit singh. (Subject Teacher)
Real life Relations
Starting with the Relations firstly we will see what are real life Relations. These Notes are Prepared by HarMohit singh. (SUBJECT TEACHER)
NCERT solutions for class 11 maths chapter 2 Relations and Functions.
Chapter 2 Exercise 2.1 class 11 maths
Now we are starting Chapter 2 Exercise 2.1 class 11 Relations and Functions.
Basics of Relations
Starting with the Relations firstly we will understand the basics of Relations. Then after completing the whole concepts of Relations and its Exercise questions, we will start Basics of Functions. Relations and Functions class 11 Notes are Prepared by HarMohit singh. (SUBJECT TEACHER)
Chapter 2 Exercise 2.2 class 11 maths
Now we are starting Chapter 2 Exercise 2.2 class 11 Relations and Functions ncert solutions.
Basics of Functions
Now we will understand What are functions and Basics of Functions.
Chapter 2 Exercise 2.3 class 11 maths
Now we are starting Chapter 2 Exercise 2.3 class 11 Relations and Functions ncert solutions.
Different Types of Functions and their Graphs
1. Identity Functions
2. Constant Functions
3. Polynomial Functions
4. Modulus Function
5. Signum Function
6. Greatest Integer Function (GIF function)
Chapter 2 Miscellaneous Exercise class 11 maths
Now we are starting Relations and Functions Miscellaneous Exercise chapter 2 class 11 – Relations and Functions class 11 notes
NCERT solutions for class 11 maths chapter 2 Relations and Functions
What are Relations?
I will try to explain Maths Relations with real-life Relations.
Brother – Sister is a relation, Husband – Wife is also a relation, Father – Son is a relation too.
Similarly there are many relations in our real-life.
Now move towards maths Relations. It is a relation between two sets.
For example there are two sets A and B.
A = {1,2,3} and B = {3,4,5}
It is given that Relation from A to B is (x.y): addition of x,y is even and x belongs to A, y belongs to B.
Then the relation between set A and set B is
R = {(1,3), (1,5), (2,4), (3,3), (3,5)}
What are Functions?
Functions are the relations which specifies that there should be only one image/output for each element/input.
Suppose there are Sets M and N
M = {1, 2, 3} and N = {D, B, C, A}
Condition 1 : If all the elements in M have image in N set
Condition 2 : And If all the elements in set M have only single image
Then it is called a Function.
If either of the two conditions does not satisfies then it will be a relation only.
NOTE: All Functions are Relations but all Relations are not Functions
You can also say that Function is a subset of Relation.
NCERT solutions for class 11 Maths Chapter 1 SETS
NCERT solutions for class 11 Maths Chapter 2 Relations and Functions
NCERT solutions for class 11 Maths Chapter 3 Trigonometric Functions
NCERT solutions for class 11 Maths Chapter 4 Principle of Mathematical induction
NCERT solutions for class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations
NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities
NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations
NCERT solutions for class 11 Maths Chapter 8 Binomial Theorem
NCERT solutions for class 11 Maths Chapter 9 Sequences and Series
NCERT solutions for class 11 Maths Chapter 10 straight lines
NCERT solutions for class 11 Maths Chapter 11 Conic Sections
NCERT solutions for class 11 Maths Chapter 13 Limits and Derivatives
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