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Sector 12, Dwarka, Delhi Details verified of Gaurav✕
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Delhi University Pursuing
Bachelor of Science (B.Sc.)
Sector 12, Dwarka, Delhi, India - 110078
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Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
1
Board
CBSE
Subjects taught
English, Mathematics
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 11 Tuition
1
Board
State, CBSE
Subjects taught
Mathematics, English
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 10 Tuition
1
Board
State, CBSE
Subjects taught
EVS, English, Science, Mathematics, Hindi, Social Science
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 9 Tuition
1
Board
State, CBSE
Subjects taught
English, EVS, Social Science, Mathematics, Hindi, Science
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 8 Tuition
1
Board
State, CBSE
Subjects taught
EVS, Hindi, Science, English, Social science, Mathematics
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class I-V Tuition
1
Board
State, CBSE, ICSE
Subjects taught
Social studies, Hindi, Science, EVS, English, Mathematics, Social Science
Taught in School or College
No
Answered on 12/05/2020 Learn CBSE - Class 11/Mathematics/Mathematics/Unit-II: Algebra/Complex Numbers and Quadratic Equations/NCERT Solutions/Miscellaneous Exercise 5
Ask a Question
Post a Lesson
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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Answers 48 
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Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 12 Tuition
1
Board
CBSE
Subjects taught
English, Mathematics
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 11 Tuition
1
Board
State, CBSE
Subjects taught
Mathematics, English
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 10 Tuition
1
Board
State, CBSE
Subjects taught
EVS, English, Science, Mathematics, Hindi, Social Science
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 9 Tuition
1
Board
State, CBSE
Subjects taught
English, EVS, Social Science, Mathematics, Hindi, Science
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class 8 Tuition
1
Board
State, CBSE
Subjects taught
EVS, Hindi, Science, English, Social science, Mathematics
Taught in School or College
No
Class Location
Online class via Zoom
Student's Home
Tutor's Home
Years of Experience in Class I-V Tuition
1
Board
State, CBSE, ICSE
Subjects taught
Social studies, Hindi, Science, EVS, English, Mathematics, Social Science
Taught in School or College
No
Answered on 12/05/2020 Learn CBSE - Class 11/Mathematics/Mathematics/Unit-II: Algebra/Complex Numbers and Quadratic Equations/NCERT Solutions/Miscellaneous Exercise 5
Ask a Question
Post a Lesson
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.
Like 0 Answers 48 Comments Ask a Question
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