If \( a_{r}=(\cos 2 r \pi+i \sin 2 r \pi)^{\frac{1}{9}} \), thenthe value of \( \left|\begin{arr...

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If \( a_{r}=(\cos 2 r \pi+i \sin 2 r \pi)^{\frac{1}{9}} \), thenthe value of \( \left|\begin{array}{lll}a_{1} & a_{2} & a_{3} \\ a_{4} & a_{5} & a_{6} \\ a_{7} & a_{8} & a_{9}\end{array}\right| \)
(A) 1
(B) \( -1 \)
(C) 0
(D) None of these
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