1. Chapter 4 Class 11 Complex Numbers
  2. Serial order wise
  3. Miscellaneous
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Misc 11 - Chapter 4 Class 11 Complex Numbers

Last updated at Dec. 16, 2024 by Teachoo

 

Transcript

Misc 11 If and are different complex numbers with | | = 1, then find |( " " )/(1 )| . We know that |z|2 = (z) ( ) |( )/(1 )|^2=(( )/(1 )) ((( )/(1 )) ) = (( )/(1 )) (( ) /(1 ) ) = (( )/(1 )) (( )/(1 )) = (( )/(1 )) (( )/(1 )) = (( )( ))/((1 )(1 )) = ( ( ) ( ))/(1 (1 ) (1 ) ) = ( + )/(1 + ) = (| |^2 + | |^2)/(1 +| |^2 | |^2 ) Given that | |=1 So, | |^2=1 = (1 + | |^2)/(1 + | |^2 1) = (1 + | |^2)/(1 + | |^2 ) = 1 Hence |( )/(1 )|^2 = 1 |( )/(1 )| = 1 |( )/(1 )| =1
  1. Chapter 4 Class 11 Complex Numbers
  2. Serial order wise

    3. Miscellaneous

    Modulus, Argument, Polar Representation →
Modulus, Argument, Polar Representation →
Chapter 4 Class 11 Complex Numbers
Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo