Examsnet
Unrestricted Exams Practice
Home
Exams
Banking Entrance Exams
CUET Exam Papers
Defence Exams
Engineering Exams
Finance Entrance Exams
GATE Exam Practice
Insurance Exams
International Exams
JEE Exams
LAW Entrance Exams
MBA Entrance Exams
MCA Entrance Exams
Medical Entrance Exams
Other Entrance Exams
Police Exams
Public Service Commission (PSC)
RRB Entrance Exams
SSC Exams
State Govt Exams
Subjectwise Practice
Teacher Exams
SET Exams(State Eligibility Test)
UPSC Entrance Exams
Aptitude
Algebra and Higher Mathematics
Arithmetic
Commercial Mathematics
Data Based Mathematics
Geometry and Mensuration
Number System and Numeracy
Problem Solving
Board Exams
Andhra
Bihar
CBSE
Gujarat
Haryana
ICSE
Jammu and Kashmir
Karnataka
Kerala
Madhya Pradesh
Maharashtra
Odisha
Tamil Nadu
Telangana
Uttar Pradesh
English
Competitive English
CBSE
CBSE Question Papers
NCERT Books
NCERT Exemplar Books
NCERT Study Notes
CBSE Study Concepts
CBSE Class 10 Solutions
CBSE Class 12 Solutions
NCERT Text Book Class 11 Solutions
NCERT Text Book Class 12 Solutions
ICSE Class 10 Papers
Certifications
Technical
Cloud Tech Certifications
Security Tech Certifications
Management
IT Infrastructure
More
About
Contact Us
Our Apps
Privacy
+
-
Test Index
Functions
Show Para
Hide Para
Section:
Mathematics
Share question:
© examsnet.com
Question : 3
Total: 33
Consider the following statements
Statement-I : A function
f
:
A
⟶
B
is said to be one-one if and only if
f
(
x
)
â‰
f
(
y
)
⇒
x
â‰
y
Statement-II : A relation
f
:
A
⟶
B
is said to be a function if
x
â‰
y
⇒
f
(
x
)
â‰
f
(
y
)
Then which one of the following is true ?
[AP EAPCET 23 May 2025 S1]
only statement-I is true
only statement-II is true
Both Statement-I and Statement-II are true
Neither Statement-I nor Statement-II are true
Validate
Solution:
It is obvious. Since,
f
is said to be one-one if
f
(
x
)
=
f
(
y
)
⇒
x
=
y
or
f
(
x
)
â‰
f
(
y
)
⇒
x
â‰
y
. Also, in a function, one image may have more than one pre-image.
© examsnet.com
Go to Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
Prev Question
Next Question
More Free Exams
AP and TS EAMCET Engineering Model Papers
AP EAPCET
AP EAPCET Engineering Previous Papers
BITSAT Exam Previous Papers
KVPY Exam Previous Papers
TG EAPCET
TG EAPCET Chapters wise Questions
VITEEE Previous Papers