Browse by Stream
-
Engineering and Architecture
Exams
Colleges
Predictors
Resources
-
Computer Application and IT
Quick Links
Colleges
-
Pharmacy
Colleges
Resources
-
Hospitality and Tourism
Colleges
Resources
Diploma Colleges
-
Competition
Other Exams
Resources
-
School
Exams
Top Schools
Products & Resources
-
Study Abroad
Top Countries
Student Visas
-
Arts, Commerce & Sciences
Exams
Colleges
Upcoming Events
Resources
-
Management and Business Administration
Exams
Colleges & Courses
Predictors
-
Learn
Online Courses
Engineering Preparation
Medical Preparation
-
Online Courses and Certifications
Top Streams
Specializations
- Digital Marketing Certification Courses
- Cyber Security Certification Courses
- Artificial Intelligence Certification Courses
- Business Analytics Certification Courses
- Data Science Certification Courses
- Cloud Computing Certification Courses
- Machine Learning Certification Courses
- View All Certification Courses
Resources
-
Medicine and Allied Sciences
Colleges
Predictors
Resources
-
Law
Resources
Colleges
-
Animation and Design
Predictors & Articles
Colleges
Resources
-
Media, Mass Communication and Journalism
Exams
Colleges
Resources
-
Finance & Accounts
Top Courses & Careers
Colleges
Get Answers to all your Questions
- 1.0
- 1.0
- 1.1
- 1.1
- 1.1
- 1.1
- 1.2
- 1.2
- 1.2
- 1.2
- 1.3
- 1.3
- 1.3
- 1.3
- 1.4
- 1.4
- 1.5
- 1.5
- 1.6
- 1.6
- 1.7
- 1.8
- 1.9
- 2.0
- 2.0
- 2.1
- 2.1
- 2.2
- 2.2
- 2.3
- 3.0
- 3.0
- 3.0
- 3.0
- 4.0
- 4.0
- 4.0
- 4.1
- 4.2
- 4.3
- 4.4
- 5.0
- 5.0
- 5.0
- 5.1
- 5.1
- 5.11
- 5.12
- 5.13
- 5.14
- 5.15
- 5.16
- 5.17
- 5.2
- 5.3
- 5.4
- 5.5
- 5.6
- 5.7
- 5.8
- 5.9
- 6.0
- 6.0
- 6.0
- 6.0
- 7.0
- 7.0
- 7.0
- 7.0
- 8.0
- 8.0
- 8.0
- 8.1
- 8.2
- 8.3
- 9.0
- 9.0
- 9.0
- 9.1
- 9.2
- 10.0
- 10.0
- 10.0
- 10.0
- 10.0
- 11.0
- 11.0
- 11.0
- 11.1
- 11.2
- 11.3
- 11.4
- 12.0
- 12.0
- 12.0
- 12.0
- 13.0
- 13.0
- 13.0
- 13.0
- 14.0
- 14.0
- 14.0
- 15.0
- 15.0
- 16.0
- 16.0
- 17.0
- 17.0
- 18.0
- 18.0
- 19.0
- 20.0
- 20.0
- 21.0
- 21.1
- 21.2
- 21.3
- 22.0
- 22.0
- 23.0
- 23.0
- 24.1
- 24.2
Explain solution RD Sharma class 12 chapter Functions exercise 2.1 question 5 sub question (viii) maths
Answers (1)
Neither injective nor surjective.
Given:
defined by
.
Hint:
One-one function means every element in the domain has a distinct image in the co-domain.
Onto function means every element in the co-domain has at least one pre image in the domain of function.
Solution:
Injection test
Let x and y be any two elements in the domain (R) such that
Here x may not be equal to y because
So, f is not an injection.
Surjection test:
Range of
Co-domain of
Both are not the same.
So f is not a surjection and f is not a bijection.
View full answer
Crack CUET with india's "Best Teachers"
- HD Video Lectures
- Unlimited Mock Tests
- Faculty Support
Similar Questions
Trending Articles/News
Latest Question
- A sum of money under compound interest doubles itself in 4 years. In how many years will it become 16 times itself? Option: 1 1
- A certain loan amounts, under compound interest, compounded annually earns an interest of Rs.1980 in the second year and Rs.2178 in the third year. How much interest did it earn in the first year?<
