Sector 12, Dwarka, Delhi, India - 110078.
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Hindi Mother Tongue (Native)
English Basic
Delhi University Pursuing
Bachelor of Science (B.Sc.)
Sector 12, Dwarka, Delhi, India - 110078
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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
1
Board
CBSE
CBSE Subjects taught
Mathematics, 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 Class 11 Tuition
1
Board
CBSE, State
CBSE Subjects taught
Mathematics, English
Taught in School or College
No
State Syllabus Subjects taught
English, Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 10 Tuition
1
Board
CBSE, State
CBSE Subjects taught
English, Hindi, Mathematics, Science, Social science
Taught in School or College
No
State Syllabus Subjects taught
Mathematics, Social Science, Hindi, Science, EVS, English
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 9 Tuition
1
Board
CBSE, State
CBSE Subjects taught
English, Hindi, Mathematics, Science, Social science
Taught in School or College
No
State Syllabus Subjects taught
Mathematics, Social Science, Hindi, Science, EVS, English
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 8 Tuition
1
Board
State, CBSE
CBSE Subjects taught
Mathematics, EVS, English, Science, Hindi
Taught in School or College
No
State Syllabus Subjects taught
EVS, Mathematics, Science, English, Hindi, Social science
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class I-V Tuition
1
Board
CBSE, State, ICSE
CBSE Subjects taught
EVS, Mathematics, Hindi, English, Science, Social Science
ICSE Subjects taught
Mathematics, Science, EVS, English, Hindi, Social Studies
Taught in School or College
No
State Syllabus Subjects taught
EVS, Mathematics, Social Science, Science, Hindi, English
1. Which school boards of Class 12 do you teach for?
CBSE
2. Have you ever taught in any School or College?
No
3. Which classes do you teach?
I teach Class 10 Tuition, Class 11 Tuition, Class 12 Tuition, Class 8 Tuition, Class 9 Tuition and Class I-V 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 1 year.
Answered on 12/05/2020 Learn CBSE/Class 11/Science/Mathematics/Unit-II: Algebra/Complex Numbers and Quadratic Equations/NCERT Solutions/Miscellaneous Exercise 5
Let, z1= a+ ib and z2= c+ id.
Now, we have to prove that,
Re(z1z2)= Re z1 Re z2 - Im z1 I'm z2 .
Now, z1z2= (a+ ib)(c+ id)= ac+ iad+ ibc+ i2bd
= ac+ i(ad+ bc)+ (-1) bd
= (ac- bd) + i(ad+ bc)
So, this implies that L.H.S. i.e. Re(z1z2)= ac- bd .
Now, as Re z1= a and Re z2= c
this implies, Re z1 Re z2 = ac
And as, Im z1= b and Im z2= d
this implies, Im z1 Im z2= bd
So, now, R.H.S. i.e. Re z1 Re z2 - Im z1 Im z2= ac- bd.
So, as L.H.S. = R.H.S.
Hence, proved.
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
1
Board
CBSE
CBSE Subjects taught
Mathematics, 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 Class 11 Tuition
1
Board
CBSE, State
CBSE Subjects taught
Mathematics, English
Taught in School or College
No
State Syllabus Subjects taught
English, Mathematics
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 10 Tuition
1
Board
CBSE, State
CBSE Subjects taught
English, Hindi, Mathematics, Science, Social science
Taught in School or College
No
State Syllabus Subjects taught
Mathematics, Social Science, Hindi, Science, EVS, English
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 9 Tuition
1
Board
CBSE, State
CBSE Subjects taught
English, Hindi, Mathematics, Science, Social science
Taught in School or College
No
State Syllabus Subjects taught
Mathematics, Social Science, Hindi, Science, EVS, English
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class 8 Tuition
1
Board
State, CBSE
CBSE Subjects taught
Mathematics, EVS, English, Science, Hindi
Taught in School or College
No
State Syllabus Subjects taught
EVS, Mathematics, Science, English, Hindi, Social science
Class Location
Online (video chat via skype, google hangout etc)
Student's Home
Tutor's Home
Years of Experience in Class I-V Tuition
1
Board
CBSE, State, ICSE
CBSE Subjects taught
EVS, Mathematics, Hindi, English, Science, Social Science
ICSE Subjects taught
Mathematics, Science, EVS, English, Hindi, Social Studies
Taught in School or College
No
State Syllabus Subjects taught
EVS, Mathematics, Social Science, Science, Hindi, English
Answered on 12/05/2020 Learn CBSE/Class 11/Science/Mathematics/Unit-II: Algebra/Complex Numbers and Quadratic Equations/NCERT Solutions/Miscellaneous Exercise 5
Let, z1= a+ ib and z2= c+ id.
Now, we have to prove that,
Re(z1z2)= Re z1 Re z2 - Im z1 I'm z2 .
Now, z1z2= (a+ ib)(c+ id)= ac+ iad+ ibc+ i2bd
= ac+ i(ad+ bc)+ (-1) bd
= (ac- bd) + i(ad+ bc)
So, this implies that L.H.S. i.e. Re(z1z2)= ac- bd .
Now, as Re z1= a and Re z2= c
this implies, Re z1 Re z2 = ac
And as, Im z1= b and Im z2= d
this implies, Im z1 Im z2= bd
So, now, R.H.S. i.e. Re z1 Re z2 - Im z1 Im z2= ac- bd.
So, as L.H.S. = R.H.S.
Hence, proved.
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