In This Post we are providing Chapter-2 RELATIONS AND FUNCTIONS NCERT MOST IMPORTANT QUESTIONS for Class 11 MATHS which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.
NCERT MOST IMPORTANT QUESTIONS ON RELATIONS AND FUNCTIONS
1. If P = {1,3}, Q = {2,3,5}, find the number of relations from A to B
Ans. 
2. If A = {1,2,3,5} and B = {4,6,9}, R = {(x, y) : |x – y| is odd, x ∈ A, y ∈ B} Write R in roster form
Ans. Function
3.
Let f and g be two real valued functions, defined by, f(x) = x2, g(x) = 3x +2.
Ans. Not a function
4. Find the domain of the relation, R = { (x, y) : x, y ϵ Z, xy = 4} Find the range of the following relations : (Question-23, 24)
Ans. {–4, –2, –1,1,2,4}
5.If and form the sets and are these two Cartesian products equal?
Ans. Given 
and 
by definition of cartesion product, we set
and 
By definition of equality of ordered pains the pair 
is not equal to the pair 
therefore 
6.If and are finite sets such that and find the number of relations from to
Ans. Linen 
the number of subsets of 
then the number of subsets of 
Since every subset of 
is a relation from A to B therefore the number of relations from A to B = 2mk
7.Let be a function from z to z defined by for same integers a and b determine a and b.
Ans. Given 
Since 
Subtracting (i) from(ii) we set a=2
Substituting a=2 is (ii) we get 2+b=1
b = -1
Hence a = 2, b = -1
8.Express as the set of ordered pairs
Ans. Since 
and 
Put 
For anther values of 
we do not get 
Hence the required set of ordered peutes is 
9.Function is defined by find
Ans. 
10.Let and be the relation, is one less than from to then find domain and Range of
Ans. Given 
and 
is the relation ‘is one less than’ from 
to 
therefore 
Domain of 
and range of 
11.Let be a relation from to define by.
Is the following true implies
Ans. No; let 
As 
so 
but 
so 
12.Let be the set of natural numbers and the relation be define in by =what is the domain, co domain and range of? Is this relation a function?
Ans. Given 
Domain of 
co domain of and Range of is the set of even natural numbers.
13. Let A = {1,2,3,4}, B = {1,4,9,16,25} and R be a relation defined from A to B as, R = {(x, y) : x ϵ A, y ϵ B and y = x2}
(a) Depict this relation using arrow diagram.
(b) Find domain of R.
(c) Find range of R.
(d) Write co-domain of R.
Ans.
(b) {1,2,3,4}
(c) {1,4,9,16}
(d) {1,4,9,16,25}
14. Let R = { (x, y) : x, y ϵ N and y = 2x} be a relation on N. Find :
(i) Domain
(ii) Codomain
(iii) Range
Is this relation a function from N to N
Ans. (i) N
(ii) N
(iii) Set of even natural numbers
yes, R is a function from N to N.
15. Find the domain and range of, f(x) = |2x – 3| – 3
Ans. Domain is R
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