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Application of Derivatives question

2024 · 31 Jan · Shift 2 · Q43

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JEE Main
Mathematics
Application of Derivatives
2024 · 31 Jan · Shift 2 · Q43

Application of Derivatives question

2024 · 31 Jan · Shift 2 · Q43

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

If the function

f:(-\infty,-1] \rightarrow(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

x+e^{-3} y=4

is :

A
$2 \sqrt{1+e^6}$
B
$\sqrt{1+e^6}$
C
$3 \sqrt{1+e^6}$
D
$4 \sqrt{1+e^6}$

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