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Example 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
Example 4 Express ( (3 ) "+ " ( 2) ) (2 3 ) in the form of a + ib ( 3 "+ " ( 2) ) (2 3 ) = ( 3 " + " ( 1 2) ) (2 3 ) = (" " 3 " + " ( 1 ) (2 ) ) (2 3 ) = ( 3 " + i" (2 )) (2 3 ) = ( 3 " " ) (2 3 ) "+ i" (2 ) (2 3 ) = 3 (2 3 ) 3 ( ) + i 2 (2 3 ) + i 2 "(" ) = 3 2 + 3i + 2 i (2 3) i 2 2 = 6 + (3"i" ) + 2"i" (2 3) ( 1 ) 2 = 6 + (3"i" ) + 2 (2 3) + 2 = ( 6+ (2 ) ) + 3 +2 (2 3) = ( 6+ (2 ) ) + 3 (1+2 (2 ))
