If xlt0, then value of tan^(-1)(x)+tan^(...

If `xlt0`, then value of `tan^(-1)(x)+tan^(-1)(1/x)` is equal to

A

1 for `x gt 0, -1 ` for `x lt 0`

B

1 for `x lt 0, -1` for `x gt 0`

C

1, for all `x ne 0`

D

`-1,` for all `x ne0`

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The correct Answer is:

A

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