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Example 1 - Chapter 4 Class 11 Complex Numbers
Last updated at April 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
Example 1 If 4x + i(3x – y) = 3 + i (–6), where x and y are real numbers, then find the values of x and y. Given 4𝑥 + 𝑖 (3𝑥 – 𝑦) = 3 + 𝑖 (–6) Comparing Real Part 4𝑥 = 3 𝒙 = 𝟑/𝟒 Comparing Imaginary Part 3𝑥 – 𝑦 = −6 Putting 𝒙 = 𝟑/𝟒 3(𝟑/𝟒) – 𝑦 = –6 9/4−𝑦=−6 9/4+6=𝑦 𝒚=𝟑𝟑/𝟒 Hence, 𝒙 = 𝟑/𝟒 & 𝒚 = 𝟑𝟑/𝟒 is the solution of the given equation
