If the area bounded by y ≤ e - x - e and y ≥ 0 is A sq. units, then log e ⁡ A is equal to

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Question: Answered & Verified by Expert

If the area bounded by

y \leq e - |x - e|

and

y \geq 0

is

A

sq. units, then

\log_{e} (A)

is equal to

MathematicsArea Under CurvesJEE Main

Solution:

2016 Upvotes Verified Answer

The correct answer is: 2

The required area is $A = \frac{1}{2} (2 e) (e) = e^{2}$ sq. units

$∴ \log_{e} (A) = \log_{e} (e^{2}) = 2$

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