MHT CET 2023 Mathematics question

MathematicsComplex NumbersMHT CET 2023

If (3x + 2) – (5y-3)i and (6x + 3) + (2y – 4)i conjugates of each other, then the value of is (where i = , x,yIR)

Answer: (B)

Solution

If and are conjugates, their real parts are equal and their imaginary parts are negatives of each other. Real parts: . Imaginary parts:

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Question ID VK-097937