If the trigonometric equation tan^(-1)x=...

If the trigonometric equation `tan^(-1)x=2sin^(-1)a` has a solution, then the complete set of values of a is

A

`(1)/(2)lt |a| lt (1)/(sqrt2)`

B

all real values of a

C

`|a| lt (1)/(2)`

D

`|a| lt (1)/(sqrt2)`

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The correct Answer is:

D

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