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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

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

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.