Mathematics · 2024
JEE Main · 31 January 2024, Shift 2 · Q1
If the function f:(-∞,-1] →(a, b] defined by f(x)=e^x^3-3 x+1 is one - one and onto, then the distance of the point P(2 b+4, a+2) from the line…
If the function $\displaystyle f:(-\infty,-1] \rightarrow(a, b]$ defined by $\displaystyle f(x)=e^{x^3-3 x+1}$ is one - one and onto, then the distance of the point $\displaystyle P(2 b+4, a+2)$ from the line $\displaystyle x+e^{-3} y=4$ is :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 2 \sqrt{1+e^6}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.