JEE Main 202131 Aug, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002If ar=cos2rπ9+isin2rπ9{a_r} = \cos {{2r\pi } \over 9} + i\sin {{2r\pi } \over 9}ar=cos92rπ+isin92rπ, r = 1, 2, 3, ....., i = −1\sqrt { - 1}−1, then the determinant ∣a1a2a3a4a5a6a7a8a9∣\left| {\matrix{ {{a_1}} & {{a_2}} & {{a_3}} \cr {{a_4}} & {{a_5}} & {{a_6}} \cr {{a_7}} & {{a_8}} & {{a_9}} \cr } } \right|a1a4a7a2a5a8a3a6a9 is equal to :AOption A. a₂a₆ −-− a₄a₈BOption B. a₉COption C. a₁a₉ −-− a₃a₇DOption D. a₅CheckSkip · show solution