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ExamsJEE MainGeneral

Let f : R – {0} → R be a function satisfying f ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ y x = ) y ( f ) x ( f for all, x, y, f(y) ≠ 0. If f'

  1. = 2024, then
  2. xf'(x) – 2024 f(x) = 0
  3. xf'(x) – 2023 f(x) = 0
  4. xf'(x) + 2024 f(x) = 0 (4) xf'(x) + f(x) = 2024

Correct answer: = 2024, then

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