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Digvijaygram, Jamnagar, India - 361140.
Details verified of Karan Khaitan✕
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Hindi Mother Tongue (Native)
English Proficient
Iit roorkee
2016
Bachelor of Engineering (B.E.)
Digvijaygram, Jamnagar, India - 361140
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Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 10 Tuition
6
Board
ICSE, State, CBSE
CBSE Subjects taught
Science, English, Mathematics
ICSE Subjects taught
Mathematics, Physics, Chemistry, English
Taught in School or College
No
State Syllabus Subjects taught
Science, English, Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 11 Tuition
6
Board
ISC/ICSE, CBSE, State
ISC/ICSE Subjects taught
Physics, Chemistry, Mathematics, English
CBSE Subjects taught
Mathematics, Physics, English, Chemistry
Taught in School or College
No
State Syllabus Subjects taught
English, Mathematics, Physics, Chemistry
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
6
Board
ISC/ICSE, CBSE
ISC/ICSE Subjects taught
Physics, Chemistry, English
CBSE Subjects taught
Mathematics, Physics, English
Taught in School or College
No
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in BTech Tuition
6
BTech Branch
BTech Chemical Engineering
BTech Chemical subjects
Chemical Process Calculations, Chemical Reaction Engineering, Chemical Engineering
Type of class
Regular Classes, Crash Course
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in BSc Tuition
6
Type of class
Regular Classes, Crash Course
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
BSc Branch
BSc Mathematics
BSc Mathematics Subjects
Calculus, Algebra
1. Which school boards of Class 10 do you teach for?
ICSE, State and CBSE
2. Do you have any prior teaching experience?
No
3. Which classes do you teach?
I teach BSc Tuition, BTech Tuition, Class 10 Tuition, Class 11 Tuition and Class 12 Tuition Classes.
4. Do you provide a demo class?
Yes, I provide a free demo class.
5. How many years of experience do you have?
I have been teaching for 6 years.
Answered on 21/05/2020 Learn Tuition
5x^2 + 5y^2 + 5z^2 = 4xy+4yx+4zx
Rearranging the terms: => 2(x^2+y^2 -2xy) + 2(y^2+z^2 - 2yz) +2(z^2+x^2 -2zx) + x^2+y^2 +z^2 = 0 => 2(x-y)^2 + 2(y-z)^2 + 2(z-x)^2 + x^2 + y^2 + z^2 = 0
Now, LHS has all the terms non negative as all the terms are square of some number But RHS is zero. So all the non negative cannot add up to 0, hence all the numbers on the LHS has to be zero so that the RHS becomes 0. ∴ x-y = 0 , y-z =0, z-x=0 => x=y=z ∴ x:y:z= 1:1:1.
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 10 Tuition
6
Board
ICSE, State, CBSE
CBSE Subjects taught
Science, English, Mathematics
ICSE Subjects taught
Mathematics, Physics, Chemistry, English
Taught in School or College
No
State Syllabus Subjects taught
Science, English, Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 11 Tuition
6
Board
ISC/ICSE, CBSE, State
ISC/ICSE Subjects taught
Physics, Chemistry, Mathematics, English
CBSE Subjects taught
Mathematics, Physics, English, Chemistry
Taught in School or College
No
State Syllabus Subjects taught
English, Mathematics, Physics, Chemistry
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
6
Board
ISC/ICSE, CBSE
ISC/ICSE Subjects taught
Physics, Chemistry, English
CBSE Subjects taught
Mathematics, Physics, English
Taught in School or College
No
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in BTech Tuition
6
BTech Branch
BTech Chemical Engineering
BTech Chemical subjects
Chemical Process Calculations, Chemical Reaction Engineering, Chemical Engineering
Type of class
Regular Classes, Crash Course
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in BSc Tuition
6
Type of class
Regular Classes, Crash Course
Class strength catered to
Group Classes, One on one/ Private Tutions
Taught in School or College
No
BSc Branch
BSc Mathematics
BSc Mathematics Subjects
Calculus, Algebra
Answered on 21/05/2020 Learn Tuition
5x^2 + 5y^2 + 5z^2 = 4xy+4yx+4zx
Rearranging the terms: => 2(x^2+y^2 -2xy) + 2(y^2+z^2 - 2yz) +2(z^2+x^2 -2zx) + x^2+y^2 +z^2 = 0 => 2(x-y)^2 + 2(y-z)^2 + 2(z-x)^2 + x^2 + y^2 + z^2 = 0
Now, LHS has all the terms non negative as all the terms are square of some number But RHS is zero. So all the non negative cannot add up to 0, hence all the numbers on the LHS has to be zero so that the RHS becomes 0. ∴ x-y = 0 , y-z =0, z-x=0 => x=y=z ∴ x:y:z= 1:1:1.
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