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Ex 4.1, 9 - Chapter 4 Class 11 Complex Numbers
Last updated at April 16, 2024 by Teachoo
Identities (square, cube of 2 complex numbers)
Chapter 4 Class 11 Complex Numbers
Concept wise
- Quadaratic equation
- Two complex numbers equal
- Convert to a + ib form
-
Identities (square, cube of 2 complex numbers)
- Division
- Power of i(odd and even)
- Conjugate
- Modulus,argument
- Polar representation
- Proof- Replacing iota with -iota
- Proof- Taking general complex numbers
- Proof- Solving
- Proof- Using modulus conjugate property (Pg 102)
Transcript
Ex5.1, 9 Express the given Complex number in the form a + ib: (1/3+3 )^3 (1/3+3 )^3 It is the form ( a + b )3 ( a + b )3 = a3 + b3 + 3ab ( a + b ) Putting a = 1/3 = 3 i = (1/3 )^3+( 3 )3+3 1/3 3 ( 1/3+3 ) = 1/27 + (3)^3 ( )^3 + 3 ( 1/3+3 ) = 1/27 + 27 ^3 + 3 ( 1/3+3 ) = 1/27 + 27 ^3 + 3 1/3+3 3 = 1/27 + 27 ^3+ + 9 2
