Knowledge Park I, Noida, India - 201310.
1
Details verified of Kapil✕
Identity
Education
Know how UrbanPro verifies Tutor details
Identity is verified based on matching the details uploaded by the Tutor with government databases.
English
Hindi
Agra university 2010
Bachelor of Science (B.Sc.)
Knowledge Park I, Noida, India - 201310
Phone Verified
Email Verified
Report this Profile
Is this listing inaccurate or duplicate? Any other problem?
Please tell us about the problem and we will fix it.
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in BSc Tuition
3
Type of class
Crash Course, Regular Classes
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
BSc Branch
BSc Mathematics
BSc Mathematics Subjects
Numerical Methods and Programming, Mathematical Finance, Algebra, Analysis, Differential Equations and Mathematical Modelling, Mechanics, Probability and Statistics, Calculus, Discrete Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in BTech Tuition
3
BTech Branch
BTech 1st Year Engineering
Type of class
Crash Course, Regular Classes
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
BTech 1st Year subjects
Advanced Mathematics (M2), Engineering Mathematics (M1)
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 9 Tuition
3
Board
ICSE, International Baccalaureate, State, IGCSE, CBSE
IB Subjects taught
Mathematics
CBSE Subjects taught
Mathematics
ICSE Subjects taught
Mathematics
IGCSE Subjects taught
Mathematics
Taught in School or College
No
State Syllabus Subjects taught
Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 10 Tuition
3
Board
ICSE, International Baccalaureate, State, IGCSE, CBSE
IB Subjects taught
Mathematics
CBSE Subjects taught
Mathematics
ICSE Subjects taught
Mathematics
IGCSE Subjects taught
Mathematics
Taught in School or College
No
State Syllabus Subjects taught
Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 11 Tuition
3
Board
State, CBSE
CBSE Subjects taught
Mathematics
Taught in School or College
No
State Syllabus Subjects taught
Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
3
Board
State, CBSE
CBSE Subjects taught
Mathematics
Taught in School or College
No
State Syllabus Subjects taught
Mathematics
1 Student Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Engineering Diploma Tuition
3
Engineering Diploma Branch
Engineering Diploma 1st Year
Engineering Diploma Subject
Basic Math
Type of class
Crash Course, Regular Classes
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
1. Do you have any prior teaching experience?
No
2. Which classes do you teach?
I teach BSc Tuition, BTech Tuition, Class 10 Tuition, Class 11 Tuition, Class 12 Tuition, Class 9 Tuition and Engineering Diploma Tuition Classes.
3. Do you provide a demo class?
Yes, I provide a free demo class.
4. How many years of experience do you have?
I have been teaching for 3 years.
Answered on 05/09/2019 Learn CBSE/Class 12/Mathematics/Unit I: Relations and Functions/NCERT Solutions/Exercise 1.2
(i) it is given that f : R → R defined by f (x) = 3 – 4x
.
⇒ f is one- one
we know on thing if a function f(x) is inversible then f(x) is definitely a bijective function. means, f(x) will be one - one and onto.
Let's try the inverse of f(x) = 3 - 4x
y = 3 - 4x
y - 3 = 4x => x = (y - 3)/4
f?¹(x) = (x - 3)/4
hence, f(x) is inversible .
so, f(x) is one - one and onto function.
hence, f(x) is bijective function [ if any function is one -one and onto then it is also known as bijective function.]
(ii) it is given that f :R→R defined by f(x) = 1 +x²
.
now, f(1) = f(-1) = 2
so, f is not one - one function.
also for all real value of x , f(x) is always greater than 1 . so, range of f(x) ∈ [1,∞)
but co-domain ∈ R
e.g., Co - domain ≠ range
so, f is not onto function.
also f is not bijective function.
Answered on 05/09/2019 Learn CBSE/Class 12/Mathematics/Application of Derivatives/NCERT Solutions/Exercise 6.2
Answered on 13/06/2019 Learn Tuition/Class XI-XII Tuition (PUC)
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in BSc Tuition
3
Type of class
Crash Course, Regular Classes
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
BSc Branch
BSc Mathematics
BSc Mathematics Subjects
Numerical Methods and Programming, Mathematical Finance, Algebra, Analysis, Differential Equations and Mathematical Modelling, Mechanics, Probability and Statistics, Calculus, Discrete Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in BTech Tuition
3
BTech Branch
BTech 1st Year Engineering
Type of class
Crash Course, Regular Classes
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
BTech 1st Year subjects
Advanced Mathematics (M2), Engineering Mathematics (M1)
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 9 Tuition
3
Board
ICSE, International Baccalaureate, State, IGCSE, CBSE
IB Subjects taught
Mathematics
CBSE Subjects taught
Mathematics
ICSE Subjects taught
Mathematics
IGCSE Subjects taught
Mathematics
Taught in School or College
No
State Syllabus Subjects taught
Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 10 Tuition
3
Board
ICSE, International Baccalaureate, State, IGCSE, CBSE
IB Subjects taught
Mathematics
CBSE Subjects taught
Mathematics
ICSE Subjects taught
Mathematics
IGCSE Subjects taught
Mathematics
Taught in School or College
No
State Syllabus Subjects taught
Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 11 Tuition
3
Board
State, CBSE
CBSE Subjects taught
Mathematics
Taught in School or College
No
State Syllabus Subjects taught
Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
3
Board
State, CBSE
CBSE Subjects taught
Mathematics
Taught in School or College
No
State Syllabus Subjects taught
Mathematics
1 Student Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Engineering Diploma Tuition
3
Engineering Diploma Branch
Engineering Diploma 1st Year
Engineering Diploma Subject
Basic Math
Type of class
Crash Course, Regular Classes
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
Answered on 05/09/2019 Learn CBSE/Class 12/Mathematics/Unit I: Relations and Functions/NCERT Solutions/Exercise 1.2
(i) it is given that f : R → R defined by f (x) = 3 – 4x.
⇒ f is one- one
we know on thing if a function f(x) is inversible then f(x) is definitely a bijective function. means, f(x) will be one - one and onto.
Let's try the inverse of f(x) = 3 - 4x
y = 3 - 4x
y - 3 = 4x => x = (y - 3)/4
f?¹(x) = (x - 3)/4
hence, f(x) is inversible .
so, f(x) is one - one and onto function.
hence, f(x) is bijective function [ if any function is one -one and onto then it is also known as bijective function.]
(ii) it is given that f :R→R defined by f(x) = 1 +x²
.
now, f(1) = f(-1) = 2
so, f is not one - one function.
also for all real value of x , f(x) is always greater than 1 . so, range of f(x) ∈ [1,∞)
but co-domain ∈ R
e.g., Co - domain ≠ range
so, f is not onto function.
also f is not bijective function.
Answered on 05/09/2019 Learn CBSE/Class 12/Mathematics/Application of Derivatives/NCERT Solutions/Exercise 6.2
Answered on 13/06/2019 Learn Tuition/Class XI-XII Tuition (PUC)
Want to learn from Kapil?
Share this Profile
Recommended Profiles
Also have a look at
Reply to 's review
Enter your reply*
Your reply has been successfully submitted.
Certified
The Certified badge indicates that the Tutor has received good amount of positive feedback from Students.
is increasing in R. 
Greater Noida West Gaur, Noida 
