Misc 1 - Evaluate (i18 + (1/i)25)3 - Chapter 5 Class 11 - Power of i(odd and even)

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise

Transcript

Misc 1 Evaluate: ( ^18+(1/i)^25 )^3 (i^18+(1/i)^25 )^3 = ( ^18+ 1/( )^25 )^3 = ( ^18+ 1/(( ) ( )^24 ))^3 = (( ^2 )^9+1/(( ) ( ^2 )^12 ))^3 = (( 1)^9+1/(( 1)^12 ))^3 = ( 1+1/(1) )^3 = ( 1+1/ )^3 = ( 1+1/ / )^3 = ( 1+ / ^2 )^3 = ( 1+ /(( 1)))^3 = ( 1 )3 = ( 1)3 (1 + )3 = ( 1)(1 + )3 = (1 + )3 Using (a + b) 3 =a3 + b3 + 3ab(a + b) = (13 + 3 + 3.1 . (1 + )) = (1 + 2( ) + 3 + 3 2) = (1 + ( 1) + 3 + 3( 1)) = (1 + 3 3) = (1 3 + 3 ) = [ 2 + 2 ] = 2 2

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.