Mathematics · 2022
JEE Main · 29 June 2022, Shift 2 · Q7
Let f be a real valued continuous function on [0,1] and f(x)=x+∫_0^1(x-t) f(t) d t Then, which of the following points (x, y) lies on the curve…
Let $\displaystyle f$ be a real valued continuous function on $\displaystyle [0,1]$ and
$$f(x)=x+\int_0^1(x-t) f(t) d t
$$
Then, which of the following points $\displaystyle (x, y)$ lies on the curve $\displaystyle y=f(x)$ ?
Official answer
(4)
$\displaystyle (6,8)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.