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Let 'a' be a positive constant number. Consider two curves `C_1: y=e^x, C_2:y=e^(a-x)`. Let S be the area of the part surrounding by `C_1, C_2` and the y axis, then `Lim_(a->0) s/a^2` equals

A

4

B

`1/2`

C

0

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Single Option Correct Type Questions)
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  13. The curve y=ax^2+bx +c passes through the point (1,2) and its tangent ...

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  16. Area bounded by y=f^(-1)(x) and tangent and normal drawn to it at poin...

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  17. If f(x)=x-1 and g(x)=|f|(x)|-2|, then the area bounded by y=g(x) and t...

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