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The value of `a` for which `a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1` has a real solution is `pi/2` (b) `-pi/2` (c) `2/pi` (d) `-2/pi`

A

`pi/2`

B

`-pi/2`

C

`2/pi`

D

None of these

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