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Jee Main 2025 — Medium JEE math MCQ

Let for some function \(y = f(x), \int_0^x tf(t) dt = x^2 f(x), x > 0\) and \(f(2) = 3\). Then \(f(6)\) is equal to \[
  1. A. \ 1 \quad
  2. B. \ 3 \quad
  3. C. \ 6 \quad
  4. D. \ 2. \]

Solution

The correct option is **A**. (A. \ 1 \quad)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let for some function y=f(x),∫0xtf(t)dt=x2f(x),x>0y = f(x), \int_0^x tf(t) dt = x^2 f(x), x > 0 and f(2)=3f(2) = 3. Then f(6)f(6) is equal to \[
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