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Misc 2 - Chapter 5 Class 11 Complex Numbers (Term 1)

Last updated at March 22, 2023 by

Misc 2 - Prove that Re(z1 z2) = Re z1 Re z2 - Im z1 Im z2 - Proof- Taking general complex numbers

Misc 2 - Chapter 5 Class 11 Complex Numbers - Part 2

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Misc 2 For any two complex numbers z1 and z2, prove that ( 1 2) = 1 2 1 2 Complex number is of form = + Hence Let complex number 1 = 1 + 1 Let complex number 2 = 2 + 2 Solving RHS first 1 2 1 2 = 1 2 1 2 Now, calculating 1 2 1 2 = ( 1 + 1) ( 2 + 2) = 1 ( 2 + 2) + 1( 2 + 2) = 1 2 + 1 2 + 2 1 + ^2 1 2 Putting i2 = 1 = 1 2 + 1 2 + 2 1 1 2 = 1 2 1 2 + ( 1 2 + 2 1) Solving L.H.S ( 1 2) = Real part of 1 2 = 1 2 1 2 = R.H.S Hence LHS = RHS Hence Proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.