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MathsJEE Main 5 Apr 2026, Shift 2·Q20·MCQ·Easy–moderate

Differential Equations · Solution by direct integration

Let f(x)f(x) and g(x)g(x) be twice differentiable functions satisfying f′′(x)=g′′(x)f''(x) = g''(x) for all x∈Rx \in \mathbb{R}, f′(1)=2g′(1)=4f'(1) = 2g'(1) = 4 and g(2)=3f(2)=9g(2) = 3f(2) = 9. Then f(25)−g(25)f(25) - g(25) is equal to:
  1. (1)20
  2. (2)40
  3. (3)−20-20
  4. (4)−40-40

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