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Ex 4.1, 4 - Chapter 4 Class 11 Complex Numbers
Last updated at Dec. 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, 4 Express the given Complex number in the form a + ib: 3(7 + i7) + i(7 + i 7) 3 ( 7 + i 7 ) + i ( 7 + i 7) = 3 × 7 + i 7 × 3 + i × 7 + i × i 7 = 21 + 21 i + 7 i + i 2 7 putting i2 = −1 = 21 + 21 i + 7 i + ( −1 ) 7 = 21 + 21 i + 7 i − 7 = 21 – 7 + 21 i + 7 i = (21 – 7 ) + ( 21 i + 7 i ) = 14 + 28 i
