If \( a_{r}=\cos \frac{2 r \pi}{9}+i \sin \frac{2 r \pi}{9}, r=1,2,...
If \( a_{r}=\cos \frac{2 r \pi}{9}+i \sin \frac{2 r \pi}{9}, r=1,2,3, \ldots \ldots, i=\sqrt{-1} \), then
\( \mathrm{P} \) determinant \( \left|\begin{array}{lll}a_{1} & a_{2} & a_{3} \\ a_{4} & a_{5} & a_{6} \\ a_{7} & a_{8} & a_{9}\end{array}\right| \) is equal to :
W
[JEE Main-2021 (August)]
(a) \( a_{2} a_{6}-a_{4} a_{8} \)
(b) \( a_{g} \)
(c) \( a_{1} a_{9}-a_{3} a_{7} \)
(d) \( a_{5} \).
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