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If atan^(-1) (e^(x)) - b tan^(-1) (e^(-x...

If `atan^(-1) (e^(x)) - b tan^(-1) (e^(-x)) =c`, then value of `cot^(-1)(e^(x))` is:

A

`(api + 2c)/(2(a+b))`

B

`(api - 2c)/(2(a+b))`

C

`(api + 2c)/(2(a-b))`

D

`(api - 2c)/(2(a-b))`

Text Solution

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The correct Answer is:
B
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