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If tan^(-1)x=pi/4-tan^(-1)(1/3) then x i...

If `tan^(-1)x=pi/4-tan^(-1)(1/3)` then `x` is

A

`1/2`

B

`1/4`

C

`1/6`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`pi/4-tan^(-1)1/3=tan^(-1)1=tan^(-1){(1-1/3)/(1+1/3)}=tan^(-1)1/2 rArr x=1/2`.
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