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Ex 4.1, 2 - Chapter 4 Class 11 Complex Numbers
Last updated at April 16, 2024 by Teachoo
Power of i(odd and even)
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, 2 Express the given Complex number in the form a + ib: i9 + i19 𝑖^9 + 𝑖^19 = i × 𝑖^8 + i × 𝑖^18 = i × (𝑖2)^4 + i × (𝑖2)^9 Putting i2 = −1 = i × (−1)4 + i × (−1)9 = i × (1) + i × (−1) = i – i = 0 = 0 + i 0
