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Let alpha, beta be two distinct values o...

Let `alpha, beta` be two distinct values of x lying in `(0,pi)` for which `sqrt5 sin x, 10 sin x, 10 (4 sin ^(2) x+1)` are 3 consecutive terms of a G.P. Then minimum value of `|alpha - beta|=`

A

`pi/10`

B

`pi/5`

C

`(2pi)/(5)`

D

`(3pi)/(5 )`

Text Solution

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The correct Answer is:
B
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