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MathsJEE Main 24 Jan 2026, Shift 2·Q17·MCQ·Moderate

Sets, Relations & Functions · Functional equations

Let ff be a function such that 3f(x)+2f(m19x)=5x3f(x) + 2f\left(\dfrac{m}{19x}\right) = 5x, x≠0x \neq 0, where m=∑i=19(i)2m = \displaystyle\sum_{i=1}^{9}(i)^2. Then f(5)−f(2)f(5) - f(2) is equal to
  1. (1)−9-9
  2. (2)36
  3. (3)18
  4. (4)9

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