If \( x \in(0,1) \), then greatest root of the equation \( \sin 2 \...

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If \( x \in(0,1) \), then greatest root of the equation \( \sin 2 \pi x= \) \( \sqrt{2} \cos \pi x \) is
\( \mathrm{P} \)
W)
(a) \( \frac{1}{4} \)
(b) \( \frac{1}{2} \)
(c) \( \frac{3}{4} \)
(d) \( \frac{1}{3} \)
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