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`alpha and beta` are two positive value 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 equal to

A

`(4pi)/(3)`

B

`(pi)/6`

C

`2 cos^(-1)""((2)/(3))`

D

none of these

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The correct Answer is:
C
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