Q .     If `sin^(−1) (x−x^2/2 + x^3/ 4 − ...) + cos^(−1) (x^2−x^4/2 + x^6/4 − ...) = π/2`, for `0 < |x| < sqrt2`, then `x` equal

JEE 2001
A

`-1`

B

`-2`

C

`2`

D

`1`

HINT

We know that, `sin^(-1) (α) + cos^(-1) (α) = π/2`

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