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If `|cos^-1((1-x^2)/(1+x^2))| < pi/3,` then x belongs to the interval

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If `|cos^-1((1-x^2)/(1+x^2))| < pi/3,` then x belongs to the interval
A. `[-1/sqrt3,1/sqrt3]`
B. `(-1/sqrt3,1/sqrt3)`
C. `(0,1/sqrt3)`
D. `[1,2]`
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Correct Answer - B
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