Monotonicity_JEE-Main 310124(S2) - Competishun – Live JEE & NEET Courses and Exam Prep

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Jee Main 2024

31-01-2024 (S2)

Question

If the function $\mathrm{f}:(-\infty,-1] \rightarrow(\mathrm{a}, \mathrm{b}]$ defined by $f(x)=e^{x 3-3 x+1}$ is one-one and onto, then the distance of the point $\mathrm{P}(2 \mathrm{~b}+4, \mathrm{a}+2)$ from the line $x+e^{-3} y=4$ is :

Select the correct option:

A

$2 \sqrt{1+\mathrm{e}^6}$

B

$4 \sqrt{1+e^6}$

C

$3 \sqrt{1+e^6}$

D

$\sqrt{1+\mathrm{e}^6}$

✓ Correct! Well done.

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Solution

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