Example 1 - Chapter 5 Class 11 Complex Numbers

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Example 1 - Chapter 5 Class 11 Complex Numbers - NCERT If 4x + i(3x – y) = 3 + i (– 6), where x and y are real numbers, then find the values of x and y. Here 4x + i (3x – y) = 3 + i (–6) Equating the real and the imaginary parts Real 4𝑥 = 3 𝑥 = 3/4 Imaginary 3x – y = – 6 3(3/4) – y = – 6 9/4 – y = – 6 9/4 + 6 = y y = 9/4 + 6 y = (9+6(4))/4 y = (9+ 24)/4 y = 33/4 Hence x = 3/4 & y = 33/4 is the solution of the given equation