Let \( \alpha, \beta \) be two distinct values of \( x \) lying in \( [0, \pi] \) for which \( \... VIDEO
Let \( \alpha, \beta \) be two distinct values of \( x \) lying in \( [0, \pi] \) for which \( \sqrt{5} \sin x, 10 \sin x, 10\left(4 \sin ^{2} x+1\right) \) are three consecutive terms of G.P. Then sum of minimum and maximum value of \( |\alpha-\beta| \) is
(a) \( \frac{\pi}{5} \)
(b) \( \frac{3 \pi}{5} \)
(c) \( \frac{7 \pi}{5} \)
(d) \( \pi \)
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