x(1) and x(2) are two positive value of...

`x_(1) and x_(2)` are two positive value of x for which ` 2 cos x,|cos x| and 3 sin^(2) x-2` are in GP. The minimum value of ` |x_(1)-x_(2)|` is equal to

A

`(4pi)/(3)`

B

`(pi)/6`

C

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

D

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

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The correct Answer is:

C

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