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If y = tan^(-1)(1/2)+tan^(-1)b , (0 lt b...

If `y = tan^(-1)(1/2)+tan^(-1)b , (0 lt blt 1) and 0 lt y le pi/4` , then the maximum value of b is a)`1//2` b)`1//3` c)`1//4` d)`2//3`

A

`1//2`

B

`1//3`

C

`1//4`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
B
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