Sector 61 Block E, Noida, India - 201301.
Details verified of Anubhav Sinha✕
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Hindi Mother Tongue (Native)
English Proficient
Symbiosis Institute of Business Management, Pune 2011
Master of Business Administration (M.B.A.)
Sector 61 Block E, Noida, India - 201301
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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 12 Tuition
8
Board
State, CBSE, International Baccalaureate, ISC/ICSE, IGCSE
IB Subjects taught
Mathematics
ISC/ICSE Subjects taught
Mathematics
CBSE Subjects taught
Mathematics
IGCSE Subjects taught
Mathematics
Experience in School or College
Teaching is a very satisfying profession through which I help students achieve their goals.
Taught in School or College
Yes
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
8
Board
State, CBSE, International Baccalaureate, ISC/ICSE, IGCSE
IB Subjects taught
Mathematics
ISC/ICSE Subjects taught
Mathematics
CBSE 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
8
Board
CBSE, ICSE, International Baccalaureate, IGCSE, State
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 9 Tuition
8
Board
CBSE, ICSE, International Baccalaureate, IGCSE, State
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 8 Tuition
8
Board
CBSE, ICSE, IGCSE, State, International Baccalaureate
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
1. Which school boards of Class 12 do you teach for?
State, CBSE, International Baccalaureate and others
2. Have you ever taught in any School or College?
Yes
3. Which classes do you teach?
I teach Class 10 Tuition, Class 11 Tuition, Class 12 Tuition, Class 8 Tuition and Class 9 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 8 years.
Answered on 23/10/2019 Learn Tuition
Answered on 29/06/2019 Learn Tuition
If x^2+y^2+z^2=xy+yz+zx then,
2x^2+2y^2+2z^2=2xy+2yz+2zx ie
(x^2+y^2) + (y^2+z^2) + (z^2+x^2) = 2xy+2yz+2zx ie
(x^2+y^2 -2xy) + (y^2+z^2 -2yz) + (z^2+x^2 - 2zx) = 0 ie
(x-y)^2 + (y-z)^2 + (z-x)^2 = 0 ,
which will happen only when
x = y = z = k (let)
Now, consider
(x+y+z)^3 = x^3 + (y+z)^3 + 3x(y+z) (x+ y +z )
=x^3 + (y^3 + z^3 + 3y^2z + 3yz^2 ) +3x (xy + y^2 + yz + xz + yz + z^2)
= x^3 + y^3 + z^3 + 3y^2z + 3yz^2 +3x^2y + 3xy^2 + 3xyz + 3x^2z + 3xyz +3xz^2
= x^3 + y^3 + z^3 + 3y^2z + 3yz^2 +3x^2y + 3xy^2 + 3xyz + 3x^2z + 3xyz +3xz^2
so,
x^3 + y^3 + z^3 = (x+y+z)^3 - (3y^2z +3yz^2 +3x^2y +3xy^2 +3xyz +3x^2z +3xyz +3xz^2)
= (3k)^3 - k^3 (3+3+3+3+3+3+3+3)
= k^3 (27-24)
= 3k^3 = 3x^3 = 3y^3 = 3z^3 = 3x^2y= 3x^2z = 3y^2x = 3y^2z = 3z^2x = 3z^2y = 3xyz
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
8
Board
State, CBSE, International Baccalaureate, ISC/ICSE, IGCSE
IB Subjects taught
Mathematics
ISC/ICSE Subjects taught
Mathematics
CBSE Subjects taught
Mathematics
IGCSE Subjects taught
Mathematics
Experience in School or College
Teaching is a very satisfying profession through which I help students achieve their goals.
Taught in School or College
Yes
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
8
Board
State, CBSE, International Baccalaureate, ISC/ICSE, IGCSE
IB Subjects taught
Mathematics
ISC/ICSE Subjects taught
Mathematics
CBSE 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
8
Board
CBSE, ICSE, International Baccalaureate, IGCSE, State
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 9 Tuition
8
Board
CBSE, ICSE, International Baccalaureate, IGCSE, State
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 8 Tuition
8
Board
CBSE, ICSE, IGCSE, State, International Baccalaureate
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
Answered on 23/10/2019 Learn Tuition
Answered on 29/06/2019 Learn Tuition
If x^2+y^2+z^2=xy+yz+zx then,
2x^2+2y^2+2z^2=2xy+2yz+2zx ie
(x^2+y^2) + (y^2+z^2) + (z^2+x^2) = 2xy+2yz+2zx ie
(x^2+y^2 -2xy) + (y^2+z^2 -2yz) + (z^2+x^2 - 2zx) = 0 ie
(x-y)^2 + (y-z)^2 + (z-x)^2 = 0 ,
which will happen only when
x = y = z = k (let)
Now, consider
(x+y+z)^3 = x^3 + (y+z)^3 + 3x(y+z) (x+ y +z )
=x^3 + (y^3 + z^3 + 3y^2z + 3yz^2 ) +3x (xy + y^2 + yz + xz + yz + z^2)
= x^3 + y^3 + z^3 + 3y^2z + 3yz^2 +3x^2y + 3xy^2 + 3xyz + 3x^2z + 3xyz +3xz^2
= x^3 + y^3 + z^3 + 3y^2z + 3yz^2 +3x^2y + 3xy^2 + 3xyz + 3x^2z + 3xyz +3xz^2
so,
x^3 + y^3 + z^3 = (x+y+z)^3 - (3y^2z +3yz^2 +3x^2y +3xy^2 +3xyz +3x^2z +3xyz +3xz^2)
= (3k)^3 - k^3 (3+3+3+3+3+3+3+3)
= k^3 (27-24)
= 3k^3 = 3x^3 = 3y^3 = 3z^3 = 3x^2y= 3x^2z = 3y^2x = 3y^2z = 3z^2x = 3z^2y = 3xyz
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