Get NCERT Solutions for Chapter 1 Class 12 Relation and Functions. Solutions of all questions and examples are given.
In this Chapter, we study
-
What a
Relation
is, Difference between relations and functions and finding relation
-
Then, we define
Empty and Universal Relation
and take some examples
-
We study different relations and check if they are
reflexive, transitive, symmetric
using different questions
-
Questions on
finding number of relations
are solved. These are important questions and can come in the
exams
-
Then, we define
Functions
and do examples to check if it is a function or not.
-
We prove functions
one-one & onto
, one-one is also called injective ; onto is also called surjective and both one-one and onto is called
bijective
-
Then, we find
Composite functions
-
fog
and
gof
... and also what is domain and range of
fog
and
gof
-
Then we prove
Composite functions one-one and onto
-
We learn what is an
inverse of a function,
check if a function has inverse or not and
find an inverse
-
Then, we do some
proof questions with inverse
of
-
We learn about
Binary Operations
-
And check whether they are
commutative or associative
-
We also find
Identity Element in a Binary Operation
-
And then, find its
inverse
Besides providing,
NCERT Solutions of Chapters
, we also provide Sample Papers and Important Questions