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The value (s) of 'a' for which exactly o...

The value (s) of 'a' for which exactly one root of the equation `e^(n) x^(2) - e^(2a) x + e^(a) - 1 = 0` lies between 1 and 2 are given by

A

`ln((5-sqrt(13))/(4))lt a lt ln ((5+sqrt(13))/(4))`

B

`0 lt a lt 100`

C

`ln.(5)/(4)lt a lt ln.(10)/(3)`

D

none of these

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The correct Answer is:
D
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