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If sin^-1sqrt((x^2+2x+1))+sec^-1sqrt((x^...

If `sin^-1sqrt((x^2+2x+1))+sec^-1sqrt((x^2+2x+1))=pi/2`, `x ne 0`, then the value of `2sec^-1(x/2)+sin^-1(x/2)` is equal to

A

`-(3pi)/2`

B

`(3pi)/2`

C

`-pi/2`

D

`pi/2`

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The correct Answer is:
B
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