Last updated at May 29, 2018 by Teachoo

Transcript

Misc, 20 If ((1 + )/(1 ))^ = 1, then find the least positive integral value of m. We need to find minimum value of m which is positive as well as integer. Lets first find the value of ((1 + )/(1 )) (1 + )/(1 ) Rationalizing = (1 + )/(1 ) (1 + )/(1 + ) = ((1 + ) (1 + ))/((1 )(1 + )) = (1 + )2/((1)2 ( )2) = (1 + ( )2 + 2 1 )/(1 2) = (1 + 2 + 2 )/(1 2) Putting i2 = 1 = (1+ ( 1) + 2 )/(1 ( 1) ) = (1 1+ 2 )/(1+1) = (0 + 2 )/2 = 2 /2 = Hence, (1 + )/(1 ) = Given ((1 + )/(1 ))^ = 1 ( ) = 1 We know that 2 = 1 Squaring both sides ( 2)2 = ( 1)2 4 = 1 Hence the minimum value of m which satisfies the equation is 4

Miscellaneous

Misc 1
Important

Misc 2

Misc 3

Misc 4 Important

Misc 5 (i) Deleted for CBSE Board 2022 Exams

Misc 5 (ii) Important

Misc 6

Misc 7

Misc 8 Important

Misc 9

Misc 10 Important

Misc 11

Misc 12

Misc 13 Important Deleted for CBSE Board 2022 Exams

Misc 14

Misc 15 Important

Misc 16

Misc 17 Important

Misc 18 Important

Misc 19

Misc 20 Important You are here

Chapter 5 Class 11 Complex Numbers (Term 1)

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.