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Ex 5.1, 2 - Chapter 5 Class 11 Complex Numbers (Term 1)
Last updated at Dec. 8, 2016 by Teachoo
Power of i(odd and even)
Chapter 5 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, 2 Express the given Complex number in the form a + ib: i9 + i19 π^9 + π^19 = i Γ π^8 + i Γ π^18 = i Γ (π2)^4 + i Γ (π2)^9 Putting i2 = β1 = i Γ (β1)4 + i Γ (β1)9 = i Γ (1) + i Γ (β1) = i β i = 0 = 0 + i 0
