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Jee Main 2025 — Medium JEE math MCQ

Let $f : (0, \infty) \rightarrow \mathbb{R}$ be a function which is differentiable at all points of its domain and satisfies the condition $x^2 f'(x) = 2x f(x) + 3$, with $f
  1. A. = 4$. Then $2f
  2. B. $ is equal to: (1) 39 (2) 19
  3. C. 29
  4. D. 23

Solution

The correct option is **A**. (A. = 4$. Then $2f)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let f:(0,∞)→Rf : (0, \infty) \rightarrow \mathbb{R} be a function which is differentiable at all points of its domain and satisfies the condition x2f′(x)=2xf(x)+3x^2 f'(x) = 2x f(x) + 3, with $f
AI hints
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep