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Point A lies on the curve y = e^(x^2) a...

Point A lies on the curve `y = e^(x^2)` and has the coordinate `(x,e^(-x^2))` where `x>0.` Point B has the coordinates `(x, 0).` If `'O'` is the origin, then the maximum area of the `DeltaAOB` is

A

`(1)/(sqrt(2e))`

B

`(1)/(sqrt(4e))`

C

`(1)/(sqrt(e))`

D

`(1)/(sqrt(8e))`

Text Solution

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The correct Answer is:
D
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