Class 12 Relations and Functions Quiz 1

Leave a Comment / By Ankur Negi / Last Updated: 9 December 2025

This is a free quiz/test based on the chapter Relation and Functions from Class 12th Maths.
This quiz covers only the basic concepts of the chapter.
Give this quiz seriously and access you level of preparations.

Welcome to your Relations and Functions Quiz 1

1. A relation R in a set A is called Symmetric, if

(a,a) \in R, \text{ for every a } \in A

(a, b) \in R, \implies (b, a) \in R, \text{ for all } a, \ b \in A

(a, b) \in R, \ (b, c) \in R \implies (a, c) \in R, \text{ for all } a, \ b, \ c \in A

None of these

None

2. Statement: A relation R in a set A is said to be an equivalence relation if R is reflexive, symmetric and transitive.

True

False

None

3. An arbitrary equivalence relation R in an arbitrary set X, R divides X into mutually disjoint subsets $A_i $ called partitions or subdivisions of X satisfying:

(i) All elements of

A_i

are related to each other, for all i.

(ii) No element of

A_i

is related to any element of

A_j , i \neq j.

(iii)

\cup A_j = X \ and \ A_i \cap A_j = \phi, i ≠ j.

All of the above

None

4. A function f : X → Y is defined to be one-one (or injective),

If the images of distinct elements of X under f are same

for every

x_1 , x_1 \in X, f(x_1) = f(x_2) \implies x_1 = x_2

If the different elements of X under f have same image

for every

x_1 , x_1 \in X, f(x_1) = f(x_2) \implies x_1 \neq x_2

None

5. Statement: A function f : X → Y is said to be one-one and onto (or bijective), if f is both one-one and onto.

True

False

None

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