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Ex 4.1, 6 - 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
Ex5.1, 6 Express the given Complex number in the form a + ib: (1/5 "+" 𝑖 2/5) − (4+𝑖 5/2) (1/5 "+" 𝑖 2/5) − (4+𝑖 5/2) = 1/5 + i 2/5 – 4 – i 5/2 = 1/5 − 4 + i 2/5 − i 5/2 = (1/5−"4" ) + ("i" 2/5 " − i " 5/2) = ((1 − 4 × 5)/5) + 𝑖 (( 2 × 2 − 5 × 5)/10) = ((1 − 20)/5) + 𝑖((4 − 25)/10) = ((−19)/5) + ((−21)/10 𝑖 )
