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Question 3 - Two complex numbers equal - Chapter 4 Class 11 Complex Numbers
Last updated at Dec. 16, 2024 by Teachoo
Two complex numbers equal
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
Question 3 Solve the equation 2 + 3 + 9 = 0 2 + 3 + 9 = 0 The above equation is of the form 2 + + = 0 Where a = 1, b = 3, and c = 9 = ( ( ^2 4 ))/2 = ( 3 (3^2 4 1 9))/(2 1) = ( 3 (9 36))/2 = ( 3 ( 27))/2 = ( 3 ( 1 27))/2 = ( 3 ( ( 27) ( 1) ))/2 = ( 3 27 )/( 2) = ( 3 (3 3 3) )/( 2) = ( 3 3 3 )/2 Thus, = ( 3 3 3 )/2
