Mathematics · 2023
JEE Main · 29 January 2023, Shift 2 · Q66
Let f and g be twice differentiable functions on R such that f^′ ′(x)=g^′ ′(x)+6 x; f^′(1)=4 g^′(1)-3=9; f(2)=3 g(2)=12 Then which of the following…
Let $\displaystyle f$ and $\displaystyle g$ be twice differentiable functions on $\displaystyle \mathbb{R}$ such that
$$\begin{aligned}
& f^{\prime \prime}(x)=g^{\prime \prime}(x)+6 x \\
& f^{\prime}(1)=4 g^{\prime}(1)-3=9 \\
& f(2)=3 g(2)=12
\end{aligned}
$$
Then which of the following is NOT true?
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \text { If }-1<x<2 \text {, then }|f(x)-g(x)|<8$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.