Problem

Problem

Let

\alpha

and

\beta

be any two positive values of

x

for which

2 \cos x, |\cos x|

and

1 - 3 \cos^2 x

are in GP. The minimum value of

|\alpha - \beta|

is a.

\frac{\pi}{3}

b.

\frac{\pi}{4}

c.

\frac{\pi}{2}

d. None of these

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