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Ex 4.1, 7 - Chapter 4 Class 11 Complex Numbers
Last updated at April 16, 2024 by Teachoo
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
Ex 4.1, 7 Express the given Complex number in the form a + ib: (1/3+ 7/3)+(4+ 1/3) ( 4/3+ ) (1/3+ 7/3)+(4+ 1/3) ( 4/3+ ) = 1/3 + i 7/3 + 4 + i 1/3 + 4/3 i = (1/3 " + 4 + " 4/3) + i (7/3 " + " 1/3 " " "1" ) = ((1 + 4 3 + 4)/3) + i ((7 + 1 1 3)/3) = ((1 +12 +4)/3) + i ((7 + 1 3)/3) = (17/3 ) + i (5/3)
