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JEE ADVANCE 2012
paper 1
Multiple correct answers - Select all that apply
Question
If S be the area of the region enclosed by $\mathrm{y}=\mathrm{e}^{-\mathrm{x}^2}, \mathrm{y}=0, \mathrm{x}=0$, and $\mathrm{x}=1$. Then
Select ALL correct options:
A
$S \geq \frac{1}{e}$
B
$S \geq 1-\frac{1}{e}$
C
$S \leq \frac{1}{4}\left(1+\frac{1}{\sqrt{e}}\right)$
D
$S \leq \frac{1}{\sqrt{2}}+\frac{1}{\sqrt{e}}\left(1-\frac{1}{\sqrt{2}}\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
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JEE Advance
Mathematics
Easy
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