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tan^(-1)((1)/(1+2))+tan^(-1)((1)/(1+6))+...

`tan^(-1)((1)/(1+2))+tan^(-1)((1)/(1+6))+tan^(-1)(k)=tan^(-1)4 -(pi)/(4)` then k is

A

`(1)/(13)`

B

`(1)/(20)`

C

`(1)/(20)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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